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22331484241920 = 2153457377389
BaseRepresentation
bin1010001001111011101000…
…01011111000000000000000
32221001212110112101120220000
411010331310023320000000
510411334334431220140
6115254535304520000
74463252666055150
oct504756413700000
987055415346800
1022331484241920
11712a802746067
122607ba8a80000
13c5cb083a4649
14572bc7458760
1528ad5e5d1a30
hex144f742f8000

22331484241920 has 2560 divisors, whose sum is σ = 96329152022400. Its totient is φ = 4843313823744.

The previous prime is 22331484241919. The next prime is 22331484241943. The reversal of 22331484241920 is 2914248413322.

22331484241920 is a `hidden beast` number, since 2 + 2 + 3 + 31 + 4 + 8 + 424 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 250915553236 + ... + 250915553324.

Almost surely, 222331484241920 is an apocalyptic number.

22331484241920 is a gapful number since it is divisible by the number (20) 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 22331484241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48164576011200).

22331484241920 is an abundant number, since it is smaller than the sum of its proper divisors (73997667780480).

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

22331484241920 is an frugal number, since it uses more digits than its factorization.

22331484241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 22331484241920 in words is "twenty-two trillion, three hundred thirty-one billion, four hundred eighty-four million, two hundred forty-one thousand, nine hundred twenty".