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22251456136 = 23713131923173
BaseRepresentation
bin10100101110010010…
…100100011010001000
32010102202001002110001
4110232102210122020
5331032333044021
614115553532344
71415261153650
oct245622443210
963382032401
1022251456136
119489404378
12438bb740b4
132137c843c0
141111319360
158a374e091
hex52e4a4688

22251456136 has 64 divisors (see below), whose sum is σ = 51390662400. Its totient is φ = 8795720448.

The previous prime is 22251456131. The next prime is 22251456137. The reversal of 22251456136 is 63165415222.

It is a junction number, because it is equal to n+sod(n) for n = 22251456095 and 22251456104.

It is not an unprimeable number, because it can be changed into a prime (22251456131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948646 + ... + 971818.

It is an arithmetic number, because the mean of its divisors is an integer number (802979100).

Almost surely, 222251456136 is an apocalyptic number.

22251456136 is a gapful number since it is divisible by the number (26) 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 22251456136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25695331200).

22251456136 is an abundant number, since it is smaller than the sum of its proper divisors (29139206264).

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

22251456136 is a wasteful number, since it uses less digits than its factorization.

22251456136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24518 (or 24514 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The spelling of 22251456136 in words is "twenty-two billion, two hundred fifty-one million, four hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1319 2638 5276 9233 10552 17147 18466 23173 34294 36932 46346 68588 73864 92692 120029 137176 162211 185384 240058 301249 324422 480116 602498 648844 960232 1204996 1297688 2108743 2409992 4217486 8434972 16869944 30565187 61130374 122260748 213956309 244521496 397347431 427912618 794694862 855825236 1589389724 1711650472 2781432017 3178779448 5562864034 11125728068 22251456136