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22054418064 = 2432759370837
BaseRepresentation
bin10100100010100010…
…111011011010010000
32002221000021112000200
4110202202323122100
5330131412334224
614044234415200
71410346313640
oct244242733220
962830245020
1022054418064
119398164798
124335b91500
1321061c6323
1410d30a8520
158912cc5c9
hex5228bb690

22054418064 has 120 divisors (see below), whose sum is σ = 71734902720. Its totient is φ = 6194444544.

The previous prime is 22054418063. The next prime is 22054418077. The reversal of 22054418064 is 46081445022.

22054418064 is a `hidden beast` number, since 2 + 205 + 441 + 8 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×220544180642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22054418063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125947 + ... + 244890.

It is an arithmetic number, because the mean of its divisors is an integer number (597790856).

Almost surely, 222054418064 is an apocalyptic number.

22054418064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22054418064 is an abundant number, since it is smaller than the sum of its proper divisors (49680484656).

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

22054418064 is a wasteful number, since it uses less digits than its factorization.

22054418064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370917 (or 370908 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 22054418064 in words is "twenty-two billion, fifty-four million, four hundred eighteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 112 118 126 144 168 177 236 252 336 354 413 472 504 531 708 826 944 1008 1062 1239 1416 1652 2124 2478 2832 3304 3717 4248 4956 6608 7434 8496 9912 14868 19824 29736 59472 370837 741674 1112511 1483348 2225022 2595859 2966696 3337533 4450044 5191718 5933392 6675066 7787577 8900088 10383436 13350132 15575154 17800176 20766872 21879383 23362731 26700264 31150308 41533744 43758766 46725462 53400528 62300616 65638149 87517532 93450924 124601232 131276298 153155681 175035064 186901848 196914447 262552596 306311362 350070128 373803696 393828894 459467043 525105192 612622724 787657788 918934086 1050210384 1225245448 1378401129 1575315576 1837868172 2450490896 2756802258 3150631152 3675736344 5513604516 7351472688 11027209032 22054418064