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22988825888 = 25745472
BaseRepresentation
bin10101011010001111…
…011010010100100000
32012100010112100120212
4111122033122110200
5334040114412023
614321054153252
71442453540000
oct253217322440
965303470525
1022988825888
119827658166
124556ab2828
132224979072
141181220000
158e8353e78
hex55a3da520

22988825888 has 90 divisors (see below), whose sum is σ = 52896019491. Its totient is φ = 9834342336.

The previous prime is 22988825863. The next prime is 22988825891. The reversal of 22988825888 is 88852888922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11494412944 + 11494412944 = 107212^2 + 107212^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107212.

It is a super-2 number, since 2×229888258882 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 42026831 + ... + 42027377.

Almost surely, 222988825888 is an apocalyptic number.

22988825888 is a gapful number since it is divisible by the number (28) 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 22988825888

22988825888 is an abundant number, since it is smaller than the sum of its proper divisors (29907193603).

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

22988825888 is an frugal number, since it uses more digits than its factorization.

22988825888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 556 counting only the distinct ones).

The product of its digits is 94371840, while the sum is 68.

The spelling of 22988825888 in words is "twenty-two billion, nine hundred eighty-eight million, eight hundred twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 547 686 784 1094 1372 1568 2188 2401 2744 3829 4376 4802 5488 7658 8752 9604 10976 15316 17504 19208 26803 30632 38416 53606 61264 76832 107212 122528 187621 214424 299209 375242 428848 598418 750484 857696 1196836 1313347 1500968 2094463 2393672 2626694 3001936 4188926 4787344 5253388 6003872 8377852 9574688 10506776 14661241 16755704 21013552 29322482 33511408 42027104 58644964 67022816 102628687 117289928 205257374 234579856 410514748 469159712 718400809 821029496 1436801618 1642058992 2873603236 3284117984 5747206472 11494412944 22988825888