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230050464 = 2537342337
BaseRepresentation
bin11011011011001…
…00101010100000
3121000212202220120
431231210222200
5432343103324
634454440240
75462253030
oct1555445240
9530782816
10230050464
11108948356
1265063080
1338879247
14227a58c0
15152e3179
hexdb64aa0

230050464 has 48 divisors (see below), whose sum is σ = 690153408. Its totient is φ = 65728512.

The previous prime is 230050433. The next prime is 230050481. The reversal of 230050464 is 464050032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 170497 + ... + 171840.

It is an arithmetic number, because the mean of its divisors is an integer number (14378196).

Almost surely, 2230050464 is an apocalyptic number.

230050464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230050464 is an abundant number, since it is smaller than the sum of its proper divisors (460102944).

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

230050464 is a wasteful number, since it uses less digits than its factorization.

230050464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342357 (or 342349 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 230050464 is about 15167.4145456633. The cubic root of 230050464 is about 612.7373742717.

The spelling of 230050464 in words is "two hundred thirty million, fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 342337 684674 1027011 1369348 2054022 2396359 2738696 4108044 4792718 5477392 7189077 8216088 9585436 10954784 14378154 16432176 19170872 28756308 32864352 38341744 57512616 76683488 115025232 230050464