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233241996 = 223132296529
BaseRepresentation
bin11011110011011…
…11110110001100
3121020212220212110
431321233312030
5434202220441
635051104020
75531344551
oct1571576614
9536786773
10233241996
1110a728189
1266142010
1339425b20
1422d96a28
1515723b16
hexde6fd8c

233241996 has 48 divisors (see below), whose sum is σ = 588744800. Its totient is φ = 71442432.

The previous prime is 233241973. The next prime is 233241997. The reversal of 233241996 is 699142332.

It is a super-3 number, since 3×2332419963 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (233241997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32460 + ... + 38988.

Almost surely, 2233241996 is an apocalyptic number.

233241996 is a gapful number since it is divisible by the number (26) 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 233241996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294372400).

233241996 is an abundant number, since it is smaller than the sum of its proper divisors (355502804).

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

233241996 is a wasteful number, since it uses less digits than its factorization.

233241996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6778 (or 6776 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 233241996 is about 15272.2623078573. The cubic root of 233241996 is about 615.5579100139.

The spelling of 233241996 in words is "two hundred thirty-three million, two hundred forty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 229 458 687 916 1374 2748 2977 5954 6529 8931 11908 13058 17862 19587 26116 35724 39174 78348 84877 169754 254631 339508 509262 1018524 1495141 2990282 4485423 5980564 8970846 17941692 19436833 38873666 58310499 77747332 116620998 233241996