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221232023320 = 235711149482071
BaseRepresentation
bin1100111000001001110…
…1001100011100011000
3210011001001002020000111
43032002131030130120
512111040344221240
6245344350014104
721661223112430
oct3160235143430
9704031066014
10221232023320
1185907789610
1236a621a7334
1317b29021199
14a9c9c712c0
155b4c4541ea
hex338274c718

221232023320 has 128 divisors (see below), whose sum is σ = 624765312000. Its totient is φ = 68492505600.

The previous prime is 221232023317. The next prime is 221232023333. The reversal of 221232023320 is 23320232122.

It is a super-2 number, since 2×2212320233202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221232023291 and 221232023300.

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 31 ways as a sum of consecutive naturals, for example, 217885 + ... + 699955.

It is an arithmetic number, because the mean of its divisors is an integer number (4880979000).

Almost surely, 2221232023320 is an apocalyptic number.

221232023320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221232023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312382656000).

221232023320 is an abundant number, since it is smaller than the sum of its proper divisors (403533288680).

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

221232023320 is a wasteful number, since it uses less digits than its factorization.

221232023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482249 (or 482245 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 221232023320 its reverse (23320232122), we get a palindrome (244552255442).

The spelling of 221232023320 in words is "two hundred twenty-one billion, two hundred thirty-two million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 149 154 220 280 298 308 385 440 596 616 745 770 1043 1192 1490 1540 1639 2086 2980 3080 3278 4172 5215 5960 6556 8195 8344 10430 11473 13112 16390 20860 22946 32780 41720 45892 57365 65560 91784 114730 229460 458920 482071 964142 1928284 2410355 3374497 3856568 4820710 5302781 6748994 9641420 10605562 13497988 16872485 19282840 21211124 26513905 26995976 33744970 37119467 42422248 53027810 67489940 71828579 74238934 106055620 134979880 143657158 148477868 185597335 212111240 287314316 296955736 359142895 371194670 502800053 574628632 718285790 742389340 790114369 1005600106 1436571580 1484778680 1580228738 2011200212 2514000265 2873143160 3160457476 3950571845 4022400424 5028000530 5530800583 6320914952 7901143690 10056001060 11061601166 15802287380 20112002120 22123202332 27654002915 31604574760 44246404664 55308005830 110616011660 221232023320