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233023224 = 2337328307
BaseRepresentation
bin11011110001110…
…10011011111000
3121020110210202210
431320322123320
5434123220344
635042255120
75526444000
oct1570723370
9536423683
10233023224
1110a598885
12660574a0
133937a385
1422d3b000
15156cddb9
hexde3a6f8

233023224 has 64 divisors (see below), whose sum is σ = 679392000. Its totient is φ = 66575712.

The previous prime is 233023211. The next prime is 233023237. The reversal of 233023224 is 422320332.

233023224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233023211) and next prime (233023237).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 233023224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5922 + ... + 22385.

It is an arithmetic number, because the mean of its divisors is an integer number (10615500).

Almost surely, 2233023224 is an apocalyptic number.

233023224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233023224 is an abundant number, since it is smaller than the sum of its proper divisors (446368776).

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

233023224 is a wasteful number, since it uses less digits than its factorization.

233023224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28337 (or 28319 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 233023224 is about 15265.0982309319. The cubic root of 233023224 is about 615.3653932810.

Adding to 233023224 its reverse (422320332), we get a palindrome (655343556).

The spelling of 233023224 in words is "two hundred thirty-three million, twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 28307 56614 84921 113228 169842 198149 226456 339684 396298 594447 679368 792596 1188894 1387043 1585192 2377788 2774086 4161129 4755576 5548172 8322258 9709301 11096344 16644516 19418602 29127903 33289032 38837204 58255806 77674408 116511612 233023224