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230054640 = 24358771093
BaseRepresentation
bin11011011011001…
…01101011110000
3121000212222122020
431231211223300
5432343222030
634454511440
75462301144
oct1555455360
9530788566
10230054640
11108950502
1265065580
133887b10a
14227a7224
15152e4510
hexdb65af0

230054640 has 80 divisors (see below), whose sum is σ = 714635808. Its totient is φ = 61221888.

The previous prime is 230054633. The next prime is 230054653. The reversal of 230054640 is 46450032.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 230054640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209934 + ... + 211026.

Almost surely, 2230054640 is an apocalyptic number.

230054640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230054640 is an abundant number, since it is smaller than the sum of its proper divisors (484581168).

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

230054640 is a wasteful number, since it uses less digits than its factorization.

230054640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1980 counting only the distinct ones).

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

The square root of 230054640 is about 15167.5522085800. The cubic root of 230054640 is about 612.7410818289.

The spelling of 230054640 in words is "two hundred thirty million, fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 877 1093 1754 2186 2631 3279 3508 4372 4385 5262 5465 6558 7016 8744 8770 10524 10930 13116 13155 14032 16395 17488 17540 21048 21860 26232 26310 32790 35080 42096 43720 52464 52620 65580 70160 87440 105240 131160 210480 262320 958561 1917122 2875683 3834244 4792805 5751366 7668488 9585610 11502732 14378415 15336976 19171220 23005464 28756830 38342440 46010928 57513660 76684880 115027320 230054640