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22089625408 = 262317386743
BaseRepresentation
bin10100100100101001…
…001110111101000000
32010000110112020102101
4110210221032331000
5330214421003113
614051533200144
71411254501154
oct244451167500
963013466371
1022089625408
119406021574
124345930054
1321105a2586
1410d7a31064
158944342dd
hex524a4ef40

22089625408 has 56 divisors (see below), whose sum is σ = 46004853888. Its totient is φ = 10503415296.

The previous prime is 22089625403. The next prime is 22089625421. The reversal of 22089625408 is 80452698022.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22089625403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211285 + ... + 298027.

It is an arithmetic number, because the mean of its divisors is an integer number (821515248).

Almost surely, 222089625408 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 22089625408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23002426944).

22089625408 is an abundant number, since it is smaller than the sum of its proper divisors (23915228480).

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

22089625408 is a wasteful number, since it uses less digits than its factorization.

22089625408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86951 (or 86941 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 22089625408 in words is "twenty-two billion, eighty-nine million, six hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 173 184 346 368 692 736 1384 1472 2768 3979 5536 7958 11072 15916 31832 63664 86743 127328 173486 254656 346972 693944 1387888 1995089 2775776 3990178 5551552 7980356 15006539 15960712 30013078 31921424 60026156 63842848 120052312 127685696 240104624 345150397 480209248 690300794 960418496 1380601588 2761203176 5522406352 11044812704 22089625408