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22325523132 = 22311735214447
BaseRepresentation
bin10100110010101101…
…000111001010111100
32010121220102002021010
4110302231013022330
5331210313220012
614131201235220
71420150546503
oct246255071274
963556362233
1022325523132
1195171a2a70
1243b0932b10
13214a418123
14111b0b983a
158a9ecec3c
hex532b472bc

22325523132 has 96 divisors (see below), whose sum is σ = 57730627584. Its totient is φ = 6658329600.

The previous prime is 22325523107. The next prime is 22325523133. The reversal of 22325523132 is 23132552322.

It is a super-3 number, since 3×223255231323 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22325523132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22325523133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5018133 + ... + 5022579.

It is an arithmetic number, because the mean of its divisors is an integer number (601360704).

Almost surely, 222325523132 is an apocalyptic number.

22325523132 is a gapful number since it is divisible by the number (22) 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 22325523132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28865313792).

22325523132 is an abundant number, since it is smaller than the sum of its proper divisors (35405104452).

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

22325523132 is a wasteful number, since it uses less digits than its factorization.

22325523132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5057 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The spelling of 22325523132 in words is "twenty-two billion, three hundred twenty-five million, five hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 521 803 876 1042 1563 1606 2084 2409 3126 3212 4447 4818 5731 6252 8894 9636 11462 13341 17193 17788 22924 26682 34386 38033 48917 53364 68772 76066 97834 114099 146751 152132 195668 228198 293502 324631 418363 456396 587004 649262 836726 973893 1255089 1298524 1673452 1947786 2316887 2510178 3570941 3895572 4633774 5020356 6950661 7141882 9267548 10712823 13901322 14283764 21425646 25485757 27802644 42851292 50971514 76457271 101943028 152914542 169132751 305829084 338265502 507398253 676531004 1014796506 1860460261 2029593012 3720920522 5581380783 7441841044 11162761566 22325523132