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232868790 = 233571123487
BaseRepresentation
bin11011110000101…
…00101110110110
3121020011221221000
431320110232312
5434103300130
635035104130
75525231520
oct1570245666
9536157830
10232868790
1110a4a2850
1265ba2046
1339324cab
1422cdaa10
151569d260
hexde14bb6

232868790 has 256 divisors, whose sum is σ = 809533440. Its totient is φ = 46189440.

The previous prime is 232868789. The next prime is 232868819. The reversal of 232868790 is 97868232.

232868790 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 477927 + ... + 478413.

It is an arithmetic number, because the mean of its divisors is an integer number (3162240).

Almost surely, 2232868790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232868790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404766720).

232868790 is an abundant number, since it is smaller than the sum of its proper divisors (576664650).

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

232868790 is a wasteful number, since it uses less digits than its factorization.

232868790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 232868790 is about 15260.0389907759. The cubic root of 232868790 is about 615.2294206522.

The spelling of 232868790 in words is "two hundred thirty-two million, eight hundred sixty-eight thousand, seven hundred ninety".