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22155131412 = 223219197164419
BaseRepresentation
bin10100101000100011…
…000111101000010100
32010012000210021202200
4110220203013220110
5330333203201122
614102233204500
71413011336601
oct245043075024
963160707680
1022155131412
119439aa3167
124363860730
13212102971b
1411026036a8
1589a0735ac
hex5288c7a14

22155131412 has 72 divisors (see below), whose sum is σ = 59250391200. Its totient is φ = 6960800448.

The previous prime is 22155131399. The next prime is 22155131417. The reversal of 22155131412 is 21413155122.

It is a happy number.

22155131412 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 513 + 141 + 2 = 666.

It is a super-2 number, since 2×221551314122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22155131417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52539 + ... + 216957.

It is an arithmetic number, because the mean of its divisors is an integer number (822922100).

Almost surely, 222155131412 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 22155131412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29625195600).

22155131412 is an abundant number, since it is smaller than the sum of its proper divisors (37095259788).

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

22155131412 is a wasteful number, since it uses less digits than its factorization.

22155131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164645 (or 164640 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 22155131412 its reverse (21413155122), we get a palindrome (43568286534).

The spelling of 22155131412 in words is "twenty-two billion, one hundred fifty-five million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 197 228 342 394 591 684 788 1182 1773 2364 3546 3743 7092 7486 11229 14972 22458 33687 44916 67374 134748 164419 328838 493257 657676 986514 1479771 1973028 2959542 3123961 5919084 6247922 9371883 12495844 18743766 28115649 32390543 37487532 56231298 64781086 97171629 112462596 129562172 194343258 291514887 388686516 583029774 615420317 1166059548 1230840634 1846260951 2461681268 3692521902 5538782853 7385043804 11077565706 22155131412