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233242040 = 23517615623
BaseRepresentation
bin11011110011011…
…11110110111000
3121020212220221002
431321233312320
5434202221130
635051104132
75531344643
oct1571576670
9536786832
10233242040
1110a728219
1266142048
1339425b55
1422d96a5a
1515723b45
hexde6fdb8

233242040 has 64 divisors (see below), whose sum is σ = 564874560. Its totient is φ = 86353920.

The previous prime is 233242039. The next prime is 233242063. The reversal of 233242040 is 40242332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38669 + ... + 44291.

It is an arithmetic number, because the mean of its divisors is an integer number (8826165).

Almost surely, 2233242040 is an apocalyptic number.

233242040 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 233242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282437280).

233242040 is an abundant number, since it is smaller than the sum of its proper divisors (331632520).

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

233242040 is a wasteful number, since it uses less digits than its factorization.

233242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 233242040 is about 15272.2637483773. The cubic root of 233242040 is about 615.5579487213.

Adding to 233242040 its reverse (40242332), we get a palindrome (273484372).

The spelling of 233242040 in words is "two hundred thirty-three million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 5623 8296 10370 11246 20740 22492 28115 41480 44984 56230 95591 112460 191182 224920 343003 382364 477955 686006 764728 955910 1372012 1715015 1911820 2744024 3430030 3823640 5831051 6860060 11662102 13720120 23324204 29155255 46648408 58310510 116621020 233242040