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22122660610464 = 2533541390716657
BaseRepresentation
bin1010000011110110101010…
…10100111100000110100000
32220022220110020212222112120
411001323111110330012200
510344424202104013324
6115015002053424240
74442211103352121
oct501732524740640
986286406788476
1022122660610464
11705a1931a5a67
12259362a33b080
13c4620900718b
14566a57552048
152856db6bd179
hex141ed553c1a0

22122660610464 has 96 divisors (see below), whose sum is σ = 58106739974976. Its totient is φ = 7369808302080.

The previous prime is 22122660610403. The next prime is 22122660610487. The reversal of 22122660610464 is 46401606622122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×221226606104642 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1328121624 + ... + 1328138280.

It is an arithmetic number, because the mean of its divisors is an integer number (605278541406).

Almost surely, 222122660610464 is an apocalyptic number.

22122660610464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22122660610464 is an abundant number, since it is smaller than the sum of its proper divisors (35984079364512).

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

22122660610464 is a wasteful number, since it uses less digits than its factorization.

22122660610464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24118 (or 24110 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 22122660610464 in words is "twenty-two trillion, one hundred twenty-two billion, six hundred sixty million, six hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3541 3907 7082 7814 10623 11721 14164 15628 16657 21246 23442 28328 31256 33314 42492 46884 49971 56656 62512 66628 84984 93768 99942 113312 125024 133256 169968 187536 199884 266512 339936 375072 399768 533024 799536 1599072 13834687 27669374 41504061 55338748 58982437 65078899 83008122 110677496 117964874 130157798 166016244 176947311 195236697 221354992 235929748 260315596 332032488 353894622 390473394 442709984 471859496 520631192 664064976 707789244 780946788 943718992 1041262384 1328129952 1415578488 1561893576 1887437984 2082524768 2831156976 3123787152 5662313952 6247574304 230444381359 460888762718 691333144077 921777525436 1382666288154 1843555050872 2765332576308 3687110101744 5530665152616 7374220203488 11061330305232 22122660610464