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22122243200004 = 22347233316812617
BaseRepresentation
bin1010000011110101111000…
…11100101001010000000100
32220022212101011110100000220
411001322330130221100010
510344422323224400004
6115014452423104340
74442164544415033
oct501727434512004
986285334410026
1022122243200004
117059a99619342
1225935325a20b0
13c461706ab03c
14566a17d3871a
152856b4c1add9
hex141ebc729404

22122243200004 has 48 divisors (see below), whose sum is σ = 52739434153728. Its totient is φ = 7214091774208.

The previous prime is 22122243199937. The next prime is 22122243200081. The reversal of 22122243200004 is 40000234222122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7090497 + ... + 9722120.

It is an arithmetic number, because the mean of its divisors is an integer number (1098738211536).

Almost surely, 222122243200004 is an apocalyptic number.

It is an amenable number.

22122243200004 is an abundant number, since it is smaller than the sum of its proper divisors (30617190953724).

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

22122243200004 is a wasteful number, since it uses less digits than its factorization.

22122243200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16815004 (or 16815002 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22122243200004 its reverse (40000234222122), we get a palindrome (62122477422126).

The spelling of 22122243200004 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred forty-three million, two hundred thousand, four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 2333 4666 6999 9332 13998 27996 109651 219302 328953 438604 657906 1315812 16812617 33625234 50437851 67250468 100875702 201751404 790192999 1580385998 2370578997 3160771996 4741157994 9482315988 39223835461 78447670922 117671506383 156895341844 235343012766 470686025532 1843520266667 3687040533334 5530560800001 7374081066668 11061121600002 22122243200004