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22423423104 = 27343496197
BaseRepresentation
bin10100111000100010…
…100100100010000000
32010212201121220210000
4110320202210202000
5331410344014404
614145015440000
71422446644245
oct247042444200
963781556700
1022423423104
11956748a735
124419686000
1321647a4ac4
14112a0c15cc
158b38bc339
hex5388a4880

22423423104 has 160 divisors (see below), whose sum is σ = 66933751500. Its totient is φ = 7451854848.

The previous prime is 22423423103. The next prime is 22423423109. The reversal of 22423423104 is 40132432422.

22423423104 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 342 + 310 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22320360000 + 103063104 = 149400^2 + 10152^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22423423103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3615334 + ... + 3621530.

Almost surely, 222423423104 is an apocalyptic number.

22423423104 is a gapful number since it is divisible by the number (24) 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 22423423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33466875750).

22423423104 is an abundant number, since it is smaller than the sum of its proper divisors (44510328396).

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

22423423104 is an equidigital number, since it uses as much as digits as its factorization.

22423423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6572 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22423423104 its reverse (40132432422), we get a palindrome (62555855526).

The spelling of 22423423104 in words is "twenty-two billion, four hundred twenty-three million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 349 384 432 576 648 698 864 1047 1152 1296 1396 1728 2094 2592 2792 3141 3456 4188 5184 5584 6197 6282 8376 9423 10368 11168 12394 12564 16752 18591 18846 22336 24788 25128 28269 33504 37182 37692 44672 49576 50256 55773 56538 67008 74364 75384 99152 100512 111546 113076 134016 148728 150768 167319 198304 201024 223092 226152 297456 301536 334638 396608 402048 446184 452304 501957 594912 603072 669276 793216 892368 904608 1003914 1189824 1206144 1338552 1784736 1809216 2007828 2162753 2379648 2677104 3569472 3618432 4015656 4325506 5354208 6488259 7138944 8031312 8651012 10708416 12976518 16062624 17302024 19464777 21416832 25953036 32125248 34604048 38929554 51906072 58394331 64250496 69208096 77859108 103812144 116788662 138416192 155718216 175182993 207624288 233577324 276832384 311436432 350365986 415248576 467154648 622872864 700731972 830497152 934309296 1245745728 1401463944 1868618592 2491491456 2802927888 3737237184 5605855776 7474474368 11211711552 22423423104