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22381168864 = 251937997127
BaseRepresentation
bin10100110110000001…
…011000100011100000
32010202210010011212011
4110312001120203200
5331314034400424
614140510042304
71421424540115
oct246601304340
963683104764
1022381168864
11954564a47a
1244074a9394
132158acc1b2
14112464290c
158aed22694
hex5360588e0

22381168864 has 48 divisors (see below), whose sum is σ = 46504886400. Its totient is φ = 10573524864.

The previous prime is 22381168841. The next prime is 22381168867. The reversal of 22381168864 is 46886118322.

It is a super-3 number, since 3×223811688643 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22381168867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181869 + ... + 278995.

It is an arithmetic number, because the mean of its divisors is an integer number (968851800).

Almost surely, 222381168864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22381168864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23252443200).

22381168864 is an abundant number, since it is smaller than the sum of its proper divisors (24123717536).

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

22381168864 is a wasteful number, since it uses less digits than its factorization.

22381168864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97535 (or 97527 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The spelling of 22381168864 in words is "twenty-two billion, three hundred eighty-one million, one hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 379 608 758 1516 3032 6064 7201 12128 14402 28804 57608 97127 115216 194254 230432 388508 777016 1554032 1845413 3108064 3690826 7381652 14763304 29526608 36811133 59053216 73622266 147244532 294489064 588978128 699411527 1177956256 1398823054 2797646108 5595292216 11190584432 22381168864