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231675648 = 2833137263
BaseRepresentation
bin11011100111100…
…01011100000000
3121010221100020120
431303301130000
5433302110043
634553340240
75512132131
oct1563613400
9533840216
10231675648
11109858386
1265707680
1338cc7ba9
1422aa9c88
1515514983
hexdcf1700

231675648 has 144 divisors (see below), whose sum is σ = 656173056. Its totient is φ = 72437760.

The previous prime is 231675641. The next prime is 231675671. The reversal of 231675648 is 846576132.

Its product of digits (241920) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231675641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 880765 + ... + 881027.

Almost surely, 2231675648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328086528).

231675648 is an abundant number, since it is smaller than the sum of its proper divisors (424497408).

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

231675648 is a wasteful number, since it uses less digits than its factorization.

231675648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 231675648 is about 15220.8951116549. The cubic root of 231675648 is about 614.1768775321.

The spelling of 231675648 in words is "two hundred thirty-one million, six hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 128 148 186 192 222 248 256 263 296 372 384 444 496 526 592 744 768 789 888 992 1052 1147 1184 1488 1578 1776 1984 2104 2294 2368 2976 3156 3441 3552 3968 4208 4588 4736 5952 6312 6882 7104 7936 8153 8416 9176 9472 9731 11904 12624 13764 14208 16306 16832 18352 19462 23808 24459 25248 27528 28416 29193 32612 33664 36704 38924 48918 50496 55056 58386 65224 67328 73408 77848 97836 100992 110112 116772 130448 146816 155696 195672 201984 220224 233544 260896 293632 301661 311392 391344 440448 467088 521792 603322 622784 782688 880896 904983 934176 1043584 1206644 1245568 1565376 1809966 1868352 2087168 2413288 2491136 3130752 3619932 3736704 4826576 6261504 7239864 7473408 9653152 14479728 19306304 28959456 38612608 57918912 77225216 115837824 231675648