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233116380 = 22345761337
BaseRepresentation
bin11011110010100…
…01001011011100
3121020122112120000
431321101023130
5434134211010
635044254300
75530312410
oct1571211334
9536575500
10233116380
1110a651872
12660a1390
13393b08b3
1422d62d40
15156eb7c0
hexde512dc

233116380 has 240 divisors, whose sum is σ = 851987136. Its totient is φ = 52254720.

The previous prime is 233116379. The next prime is 233116399. The reversal of 233116380 is 83611332.

It is a happy number.

233116380 is a `hidden beast` number, since 23 + 3 + 1 + 1 + 638 + 0 = 666.

233116380 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 691572 + ... + 691908.

Almost surely, 2233116380 is an apocalyptic number.

233116380 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 233116380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425993568).

233116380 is an abundant number, since it is smaller than the sum of its proper divisors (618870756).

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

233116380 is a wasteful number, since it uses less digits than its factorization.

233116380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 233116380 is about 15268.1492002142. The cubic root of 233116380 is about 615.4473841663.

The spelling of 233116380 in words is "two hundred thirty-three million, one hundred sixteen thousand, three hundred eighty".