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22297330440 = 233257211151761
BaseRepresentation
bin10100110001000001…
…100100001100001000
32010112221100202011100
4110301001210030020
5331131104033230
614124313101400
71416356116200
oct246101441410
963487322140
1022297330440
119502297420
1243a33b7860
132144626968
14111745b400
158a77b1660
hex531064308

22297330440 has 576 divisors, whose sum is σ = 92691630720. Its totient is φ = 4596480000.

The previous prime is 22297330423. The next prime is 22297330457. The reversal of 22297330440 is 4403379222.

It is a happy number.

22297330440 is a `hidden beast` number, since 22 + 297 + 3 + 304 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22297330423) and next prime (22297330457).

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 = 22297330395 and 22297330404.

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 143 ways as a sum of consecutive naturals, for example, 29299660 + ... + 29300420.

It is an arithmetic number, because the mean of its divisors is an integer number (160922970).

Almost surely, 222297330440 is an apocalyptic number.

22297330440 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 22297330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46345815360).

22297330440 is an abundant number, since it is smaller than the sum of its proper divisors (70394300280).

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

22297330440 is a wasteful number, since it uses less digits than its factorization.

22297330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

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

The spelling of 22297330440 in words is "twenty-two billion, two hundred ninety-seven million, three hundred thirty thousand, four hundred forty".