Search a number
-
+
22200012201222 = 2321498277409471
BaseRepresentation
bin1010000110000110101111…
…10101110101110100000110
32220121022010000112221001100
411003003113311311310012
510402211111110414342
6115114313402440530
74450616666132022
oct503032765656406
986538100487040
1022200012201222
117089a77152a79
1225a6617203146
13c505b5549a1b
1456a6b4687382
152877173e7e4c
hex1430d7d75d06

22200012201222 has 24 divisors (see below), whose sum is σ = 48422845411200. Its totient is φ = 7350339609360.

The previous prime is 22200012201217. The next prime is 22200012201247. The reversal of 22200012201222 is 22210221000222.

22200012201222 is a `hidden beast` number, since 2 + 220 + 0 + 0 + 1 + 220 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22200012201195 and 22200012201204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4138702054 + ... + 4138707417.

It is an arithmetic number, because the mean of its divisors is an integer number (2017618558800).

Almost surely, 222200012201222 is an apocalyptic number.

22200012201222 is an abundant number, since it is smaller than the sum of its proper divisors (26222833209978).

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

22200012201222 is a wasteful number, since it uses less digits than its factorization.

22200012201222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277409628 (or 8277409625 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22200012201222 its reverse (22210221000222), we get a palindrome (44410233201444).

The spelling of 22200012201222 in words is "twenty-two trillion, two hundred billion, twelve million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 149 298 447 894 1341 2682 8277409471 16554818942 24832228413 49664456826 74496685239 148993370478 1233334011179 2466668022358 3700002033537 7400004067074 11100006100611 22200012201222