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233325040 = 24513224351
BaseRepresentation
bin11011110100001…
…00000111110000
3121021001010210011
431322010013300
5434212400130
635052544304
75532141634
oct1572040760
9537033704
10233325040
1110a784613
1266182094
1339454870
1422db8dc4
151573d52a
hexde841f0

233325040 has 40 divisors (see below), whose sum is σ = 584212608. Its totient is φ = 86150400.

The previous prime is 233325019. The next prime is 233325107. The reversal of 233325040 is 40523332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111136 + ... + 113215.

Almost surely, 2233325040 is an apocalyptic number.

233325040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233325040 is an abundant number, since it is smaller than the sum of its proper divisors (350887568).

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

233325040 is a wasteful number, since it uses less digits than its factorization.

233325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224377 (or 224371 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 233325040 is about 15274.9808510518. The cubic root of 233325040 is about 615.6309562154.

Adding to 233325040 its reverse (40523332), we get a palindrome (273848372).

The spelling of 233325040 in words is "two hundred thirty-three million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 224351 448702 897404 1121755 1794808 2243510 2916563 3589616 4487020 5833126 8974040 11666252 14582815 17948080 23332504 29165630 46665008 58331260 116662520 233325040