Search a number
-
+
22637992048 = 2473123927281
BaseRepresentation
bin10101000101010101…
…000101100001110000
32011102200101011000221
4111011111011201300
5332330311221143
614222202422424
71430663520550
oct250525054160
964380334027
1022637992048
119667613541
124479501a14
13219a090489
14114a7b7160
158c76532ed
hex545545870

22637992048 has 80 divisors (see below), whose sum is σ = 51962388480. Its totient is φ = 9349401600.

The previous prime is 22637992009. The next prime is 22637992061. The reversal of 22637992048 is 84029973622.

It is a super-2 number, since 2×226379920482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22637991986 and 22637992004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816168 + ... + 843448.

It is an arithmetic number, because the mean of its divisors is an integer number (649529856).

Almost surely, 222637992048 is an apocalyptic number.

22637992048 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 22637992048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25981194240).

22637992048 is an abundant number, since it is smaller than the sum of its proper divisors (29324396432).

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

22637992048 is a wasteful number, since it uses less digits than its factorization.

22637992048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27566 (or 27560 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 22637992048 in words is "twenty-two billion, six hundred thirty-seven million, nine hundred ninety-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 239 248 434 478 496 868 956 1673 1736 1912 3346 3472 3824 6692 7409 13384 14818 26768 27281 29636 51863 54562 59272 103726 109124 118544 190967 207452 218248 381934 414904 436496 763868 829808 845711 1527736 1691422 3055472 3382844 5919977 6520159 6765688 11839954 13040318 13531376 23679908 26080636 45641113 47359816 52161272 91282226 94719632 104322544 182564452 202124929 365128904 404249858 730257808 808499716 1414874503 1616999432 2829749006 3233998864 5659498012 11318996024 22637992048