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232090154208 = 25321133119531
BaseRepresentation
bin1101100000100110100…
…1101011010011100000
3211012001202120102102100
43120021221223103200
512300310034413313
6254342025250400
722524260521623
oct3301151532340
9735052512370
10232090154208
118a479929000
1238b92633a00
1318b697357c3
14b339d71dba
15608581d173
hex3609a6b4e0

232090154208 has 288 divisors, whose sum is σ = 749413776384. Its totient is φ = 68058144000.

The previous prime is 232090154207. The next prime is 232090154267. The reversal of 232090154208 is 802451090232.

It is a happy number.

232090154208 is a `hidden beast` number, since 2 + 3 + 20 + 90 + 1 + 542 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232090154207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11873403 + ... + 11892933.

It is an arithmetic number, because the mean of its divisors is an integer number (2602131168).

Almost surely, 2232090154208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232090154208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374706888192).

232090154208 is an abundant number, since it is smaller than the sum of its proper divisors (517323622176).

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

232090154208 is a wasteful number, since it uses less digits than its factorization.

232090154208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19611 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 232090154208 in words is "two hundred thirty-two billion, ninety million, one hundred fifty-four thousand, two hundred eight".