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22232327040 = 273357311231
BaseRepresentation
bin10100101101001001…
…100110001110000000
32010101102001020021000
4110231021212032000
5331012433431130
614114031532000
71414636443000
oct245511461600
963342036230
1022232327040
119479629400
12438568a000
132134017501
14110c97a000
158a1c21260
hex52d266380

22232327040 has 1536 divisors, whose sum is σ = 104186880000. Its totient is φ = 4470681600.

The previous prime is 22232326979. The next prime is 22232327081. The reversal of 22232327040 is 4072323222.

It is a happy number.

It is a super-2 number, since 2×222323270402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22232326995 and 22232327013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 717171825 + ... + 717171855.

It is an arithmetic number, because the mean of its divisors is an integer number (67830000).

Almost surely, 222232327040 is an apocalyptic number.

22232327040 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 22232327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093440000).

22232327040 is an abundant number, since it is smaller than the sum of its proper divisors (81954552960).

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

22232327040 is a wasteful number, since it uses less digits than its factorization.

22232327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 22232327040 in words is "twenty-two billion, two hundred thirty-two million, three hundred twenty-seven thousand, forty".