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231673728 = 27311134219
BaseRepresentation
bin11011100111100…
…00111110000000
3121010221020121110
431303300332000
5433302024403
634553323320
75512123416
oct1563607600
9533836543
10231673728
111098569a0
1265706540
1338cc7060
1422aa92b6
1515514103
hexdcf0f80

231673728 has 128 divisors (see below), whose sum is σ = 723139200. Its totient is φ = 64788480.

The previous prime is 231673709. The next prime is 231673751. The reversal of 231673728 is 827376132.

231673728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 52803 + ... + 57021.

It is an arithmetic number, because the mean of its divisors is an integer number (5649525).

Almost surely, 2231673728 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 231673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361569600).

231673728 is an abundant number, since it is smaller than the sum of its proper divisors (491465472).

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

231673728 is a wasteful number, since it uses less digits than its factorization.

231673728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4248 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 231673728 is about 15220.8320403321. The cubic root of 231673728 is about 614.1751808743.

The spelling of 231673728 in words is "two hundred thirty-one million, six hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4219 4224 4576 4992 6864 8438 9152 12657 13728 16876 18304 25314 27456 33752 46409 50628 54847 54912 67504 92818 101256 109694 135008 139227 164541 185636 202512 219388 270016 278454 329082 371272 405024 438776 540032 556908 603317 658164 742544 810048 877552 1113816 1206634 1316328 1485088 1620096 1755104 1809951 2227632 2413268 2632656 2970176 3510208 3619902 4455264 4826536 5265312 5940352 7020416 7239804 8910528 9653072 10530624 14479608 17821056 19306144 21061248 28959216 38612288 57918432 77224576 115836864 231673728