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222213230122240 = 2857109227528291
BaseRepresentation
bin110010100001101000001100…
…101001010101010100000000
31002010210101012002000221112001
4302201220030221111110000
5213111220143402402430
62104335203150113344
764543242665101450
oct6241501451252400
91063711162027461
10222213230122240
1164893113353a95
1220b0a4b51ab854
1396cb80509a936
143cc326b961d60
151aa5421ad33ca
hexca1a0ca55500

222213230122240 has 144 divisors (see below), whose sum is σ = 613889534079360. Its totient is φ = 75488425943040.

The previous prime is 222213230122223. The next prime is 222213230122283. The reversal of 222213230122240 is 42221032312222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 222213230122199 and 222213230122208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112787506 + ... + 114740785.

It is an arithmetic number, because the mean of its divisors is an integer number (4263121764440).

Almost surely, 2222213230122240 is an apocalyptic number.

222213230122240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222213230122240 is an abundant number, since it is smaller than the sum of its proper divisors (391676303957120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222213230122240 is a wasteful number, since it uses less digits than its factorization.

222213230122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227528428 (or 227528414 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 222213230122240 its reverse (42221032312222), we get a palindrome (264434262434462).

The spelling of 222213230122240 in words is "two hundred twenty-two trillion, two hundred thirteen billion, two hundred thirty million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 109 112 128 140 160 218 224 256 280 320 436 448 545 560 640 763 872 896 1090 1120 1280 1526 1744 1792 2180 2240 3052 3488 3815 4360 4480 6104 6976 7630 8720 8960 12208 13952 15260 17440 24416 27904 30520 34880 48832 61040 69760 97664 122080 139520 195328 244160 488320 976640 227528291 455056582 910113164 1137641455 1592698037 1820226328 2275282910 3185396074 3640452656 4550565820 6370792148 7280905312 7963490185 9101131640 12741584296 14561810624 15926980370 18202263280 24800583719 25483168592 29123621248 31853960740 36404526560 49601167438 50966337184 58247242496 63707921480 72809053120 99202334876 101932674368 124002918595 127415842960 145618106240 173604086033 198404669752 203865348736 248005837190 254831685920 291236212480 347208172066 396809339504 407730697472 496011674380 509663371840 694416344132 793618679008 868020430165 992023348760 1019326743680 1388832688264 1587237358016 1736040860330 1984046697520 2038653487360 2777665376528 3174474716032 3472081720660 3968093395040 5555330753056 6348949432064 6944163441320 7936186790080 11110661506112 13888326882640 15872373580160 22221323012224 27776653765280 31744747160320 44442646024448 55553307530560 111106615061120 222213230122240