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22198405632 = 293138912491
BaseRepresentation
bin10100101011001000…
…001100101000000000
32010022001012211211120
4110223020030220000
5330430242440012
614110420512240
71414045222524
oct245310145000
963261184746
1022198405632
11946146a787
12437624b680
132129c9b680
141108269d84
1589dc7058c
hex52b20ca00

22198405632 has 160 divisors (see below), whose sum is σ = 64407752640. Its totient is φ = 6752993280.

The previous prime is 22198405609. The next prime is 22198405643. The reversal of 22198405632 is 23650489122.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1770907 + ... + 1783397.

It is an arithmetic number, because the mean of its divisors is an integer number (402548454).

Almost surely, 222198405632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22198405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32203876320).

22198405632 is an abundant number, since it is smaller than the sum of its proper divisors (42209347008).

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

22198405632 is a wasteful number, since it uses less digits than its factorization.

22198405632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12598 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 22198405632 in words is "twenty-two billion, one hundred ninety-eight million, four hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 128 156 178 192 208 256 267 312 356 384 416 512 534 624 712 768 832 1068 1157 1248 1424 1536 1664 2136 2314 2496 2848 3328 3471 4272 4628 4992 5696 6656 6942 8544 9256 9984 11392 12491 13884 17088 18512 19968 22784 24982 27768 34176 37024 37473 45568 49964 55536 68352 74048 74946 99928 111072 136704 148096 149892 162383 199856 222144 296192 299784 324766 399712 444288 487149 592384 599568 649532 799424 888576 974298 1111699 1199136 1299064 1598848 1777152 1948596 2223398 2398272 2598128 3197696 3335097 3897192 4446796 4796544 5196256 6395392 6670194 7794384 8893592 9593088 10392512 13340388 14452087 15588768 17787184 19186176 20785024 26680776 28904174 31177536 35574368 41570048 43356261 53361552 57808348 62355072 71148736 83140096 86712522 106723104 115616696 124710144 142297472 173425044 213446208 231233392 249420288 284594944 346850088 426892416 462466784 569189888 693700176 853784832 924933568 1387400352 1707569664 1849867136 2774800704 3699734272 5549601408 7399468544 11099202816 22198405632