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22332130342340 = 225713174339166349
BaseRepresentation
bin1010001001111100110101…
…01100100011010111000100
32221001221010120010220001012
411010332122230203113010
510411342200331423330
6115255123345021352
74463305002610640
oct504763254432704
987057116126035
1022332130342340
117130004420955
122608149324858
13c5cbac1c16a0
14572c491a1c20
1528ad9b1a8c95
hex144f9ab235c4

22332130342340 has 192 divisors, whose sum is σ = 61129712448000. Its totient is φ = 6650428022784.

The previous prime is 22332130342307. The next prime is 22332130342373. The reversal of 22332130342340 is 4324303123322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22332130342307) and next prime (22332130342373).

It is a junction number, because it is equal to n+sod(n) for n = 22332130342297 and 22332130342306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134165486 + ... + 134331834.

It is an arithmetic number, because the mean of its divisors is an integer number (318383919000).

Almost surely, 222332130342340 is an apocalyptic number.

22332130342340 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 22332130342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564856224000).

22332130342340 is an abundant number, since it is smaller than the sum of its proper divisors (38797582105660).

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

22332130342340 is a wasteful number, since it uses less digits than its factorization.

22332130342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170734 (or 170732 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 22332130342340 its reverse (4324303123322), we get a palindrome (26656433465662).

The spelling of 22332130342340 in words is "twenty-two trillion, three hundred thirty-two billion, one hundred thirty million, three hundred forty-two thousand, three hundred forty".