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22280633088 = 28378946567
BaseRepresentation
bin10100110000000001…
…110111101100000000
32010111202221102200220
4110300001313230000
5331112320224323
614122515143040
71416064153650
oct246001675400
963452842626
1022280633088
1194a392245a
1243998a4a80
13214102b87c
141115152360
158a60b40e3
hex530077b00

22280633088 has 144 divisors (see below), whose sum is σ = 68533194240. Its totient is φ = 6294233088.

The previous prime is 22280633087. The next prime is 22280633093. The reversal of 22280633088 is 88033608222.

It is a super-2 number, since 2×222806330882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22280633083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455181 + ... + 501747.

It is an arithmetic number, because the mean of its divisors is an integer number (475924960).

Almost surely, 222280633088 is an apocalyptic number.

22280633088 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 22280633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34266597120).

22280633088 is an abundant number, since it is smaller than the sum of its proper divisors (46252561152).

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

22280633088 is an equidigital number, since it uses as much as digits as its factorization.

22280633088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46682 (or 46668 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 22280633088 in words is "twenty-two billion, two hundred eighty million, six hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 168 178 192 224 256 267 336 356 384 448 534 623 672 712 768 896 1068 1246 1344 1424 1792 1869 2136 2492 2688 2848 3738 4272 4984 5376 5696 7476 8544 9968 11392 14952 17088 19936 22784 29904 34176 39872 46567 59808 68352 79744 93134 119616 139701 159488 186268 239232 279402 325969 372536 478464 558804 651938 745072 977907 1117608 1303876 1490144 1955814 2235216 2607752 2980288 3911628 4144463 4470432 5215504 5960576 7823256 8288926 8940864 10431008 11921152 12433389 15646512 16577852 17881728 20862016 24866778 29011241 31293024 33155704 35763456 41724032 49733556 58022482 62586048 66311408 83448064 87033723 99467112 116044964 125172096 132622816 174067446 198934224 232089928 250344192 265245632 348134892 397868448 464179856 530491264 696269784 795736896 928359712 1060982528 1392539568 1591473792 1856719424 2785079136 3182947584 3713438848 5570158272 7426877696 11140316544 22280633088