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22400429688 = 23337131139623
BaseRepresentation
bin10100110111001010…
…110110111001111000
32010211010100201202000
4110313022312321320
5331334002222223
614142434541000
71422050340120
oct246712667170
963733321660
1022400429688
11955550540a
124411a37760
13215cab4030
141127017c80
158b1879543
hex5372b6e78

22400429688 has 128 divisors (see below), whose sum is σ = 76582732800. Its totient is φ = 5907800448.

The previous prime is 22400429671. The next prime is 22400429693. The reversal of 22400429688 is 88692400422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550156 + ... + 589467.

It is an arithmetic number, because the mean of its divisors is an integer number (598302600).

Almost surely, 222400429688 is an apocalyptic number.

22400429688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22400429688 is an abundant number, since it is smaller than the sum of its proper divisors (54182303112).

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

22400429688 is a wasteful number, since it uses less digits than its factorization.

22400429688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139658 (or 1139648 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22400429688 in words is "twenty-two billion, four hundred million, four hundred twenty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 1139623 2279246 3418869 4558492 6837738 7977361 9116984 10256607 13675476 14815099 15954722 20513214 23932083 27350952 29630198 30769821 31909444 41026428 44445297 47864166 59260396 61539642 63818888 71796249 82052856 88890594 95728332 103705693 118520792 123079284 133335891 143592498 177781188 191456664 207411386 215388747 246158568 266671782 287184996 311117079 355562376 400007673 414822772 430777494 533343564 574369992 622234158 800015346 829645544 861554988 933351237 1066687128 1244468316 1600030692 1723109976 1866702474 2488936632 2800053711 3200061384 3733404948 5600107422 7466809896 11200214844 22400429688