Search a number
-
+
233001024 = 2631213547
BaseRepresentation
bin11011110001101…
…01000001000000
3121020102200022120
431320311001000
5434122013044
635042004240
75526322164
oct1570650100
9536380276
10233001024
1110a583133
1266046680
1339370239
1422d32ca4
15156c7519
hexde35040

233001024 has 28 divisors (see below), whose sum is σ = 616482384. Its totient is φ = 77666944.

The previous prime is 233001019. The next prime is 233001061. The reversal of 233001024 is 420100332.

It is a junction number, because it is equal to n+sod(n) for n = 233000994 and 233001012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 606582 + ... + 606965.

It is an arithmetic number, because the mean of its divisors is an integer number (22017228).

Almost surely, 2233001024 is an apocalyptic number.

233001024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233001024 is an abundant number, since it is smaller than the sum of its proper divisors (383481360).

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

233001024 is a wasteful number, since it uses less digits than its factorization.

233001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213562 (or 1213552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 233001024 is about 15264.3710646721. The cubic root of 233001024 is about 615.3458508146.

Adding to 233001024 its reverse (420100332), we get a palindrome (653101356).

The spelling of 233001024 in words is "two hundred thirty-three million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1213547 2427094 3640641 4854188 7281282 9708376 14562564 19416752 29125128 38833504 58250256 77667008 116500512 233001024