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22372943040 = 2633573111933
BaseRepresentation
bin10100110101100010…
…000000010011000000
32010202012122021011000
4110311202000103000
5331304433134130
614140013452000
71421264610120
oct246542002300
963665567130
1022372943040
119540a41278
1244047a1000
1321571ac046
141123500c80
158ae24a260
hex5358804c0

22372943040 has 448 divisors, whose sum is σ = 93119569920. Its totient is φ = 4948439040.

The previous prime is 22372943029. The next prime is 22372943051. The reversal of 22372943040 is 4034927322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22372943029) and next prime (22372943051).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22372942986 and 22372943004.

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 63 ways as a sum of consecutive naturals, for example, 1868914 + ... + 1880846.

Almost surely, 222372943040 is an apocalyptic number.

22372943040 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 22372943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46559784960).

22372943040 is an abundant number, since it is smaller than the sum of its proper divisors (70746626880).

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

22372943040 is a wasteful number, since it uses less digits than its factorization.

22372943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11981 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 22372943040 in words is "twenty-two billion, three hundred seventy-two million, nine hundred forty-three thousand, forty".