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230150760 = 233571771227
BaseRepresentation
bin11011011011111…
…01001001101000
3121001001212111020
431231331021220
5432404311020
634500532440
75463151320
oct1555751150
9531055436
10230150760
11108a06744
12650b1120
13388b2aa8
14227d0280
1515312c40
hexdb7d268

230150760 has 256 divisors, whose sum is σ = 851005440. Its totient is φ = 48599040.

The previous prime is 230150737. The next prime is 230150771. The reversal of 230150760 is 67051032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230150760.

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, 1013767 + ... + 1013993.

It is an arithmetic number, because the mean of its divisors is an integer number (3324240).

Almost surely, 2230150760 is an apocalyptic number.

230150760 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 230150760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425502720).

230150760 is an abundant number, since it is smaller than the sum of its proper divisors (620854680).

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

230150760 is a wasteful number, since it uses less digits than its factorization.

230150760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 230150760 is about 15170.7204838795. The cubic root of 230150760 is about 612.8264071703.

The spelling of 230150760 in words is "two hundred thirty million, one hundred fifty thousand, seven hundred sixty".