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2290136310 = 23257111917393
BaseRepresentation
bin1000100010000000…
…1011010011110110
312220121021222102100
42020200023103312
514142233330220
61015125322530
7110515560150
oct21040132366
95817258370
102290136310
11a757a4340
1253ab66446
132a6600657
1417a221ad0
15d60c3d90
hex8880b4f6

2290136310 has 192 divisors, whose sum is σ = 7814776320. Its totient is φ = 450800640.

The previous prime is 2290136267. The next prime is 2290136323. The reversal of 2290136310 is 136310922.

2290136310 is a `hidden beast` number, since 2 + 29 + 0 + 1 + 3 + 631 + 0 = 666.

It is a super-2 number, since 2×22901363102 = 10489448636760832200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122974 + ... + 140366.

It is an arithmetic number, because the mean of its divisors is an integer number (40701960).

Almost surely, 22290136310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290136310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907388160).

2290136310 is an abundant number, since it is smaller than the sum of its proper divisors (5524640010).

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

2290136310 is a wasteful number, since it uses less digits than its factorization.

2290136310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17443 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2290136310 is about 47855.3686643411. The cubic root of 2290136310 is about 1318.1164423470.

The spelling of 2290136310 in words is "two billion, two hundred ninety million, one hundred thirty-six thousand, three hundred ten".