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232023700080 = 243252385716349
BaseRepresentation
bin1101100000010110110…
…0001011001001110000
3211011220010112012111100
43120011230023021300
512300141031400310
6254331253044400
722522522624044
oct3300554131160
9734803465440
10232023700080
118a44536a037
1238b74326700
1318b58a38c33
14b3311d4024
15607ea92ec0
hex3605b0b270

232023700080 has 240 divisors, whose sum is σ = 814090305600. Its totient is φ = 59110182912.

The previous prime is 232023700067. The next prime is 232023700121. The reversal of 232023700080 is 80007320232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14183746 + ... + 14200094.

It is an arithmetic number, because the mean of its divisors is an integer number (3392042940).

Almost surely, 2232023700080 is an apocalyptic number.

232023700080 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 232023700080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407045152800).

232023700080 is an abundant number, since it is smaller than the sum of its proper divisors (582066605520).

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

232023700080 is a wasteful number, since it uses less digits than its factorization.

232023700080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17248 (or 17239 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 232023700080 in words is "two hundred thirty-two billion, twenty-three million, seven hundred thousand, eighty".