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231990976 = 2671783367
BaseRepresentation
bin11011101001111…
…10011011000000
3121011112100210101
431310332123000
5433342202401
635004212144
75514614350
oct1564763300
9534470711
10231990976
11109a53288
126583a054
13390a8589
1422b4cb60
1515578101
hexdd3e6c0

231990976 has 112 divisors (see below), whose sum is σ = 565318656. Its totient is φ = 92196864.

The previous prime is 231990953. The next prime is 231991031. The reversal of 231990976 is 679099132.

It is a tau number, because it is divible by the number of its divisors (112).

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, 631945 + ... + 632311.

It is an arithmetic number, because the mean of its divisors is an integer number (5047488).

Almost surely, 2231990976 is an apocalyptic number.

231990976 is the 7616-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282659328).

231990976 is an abundant number, since it is smaller than the sum of its proper divisors (333327680).

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

231990976 is a wasteful number, since it uses less digits than its factorization.

231990976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The square root of 231990976 is about 15231.2499815347. The cubic root of 231990976 is about 614.4553981985.

The spelling of 231990976 in words is "two hundred thirty-one million, nine hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 83 112 119 136 166 224 238 272 332 367 448 476 544 581 664 734 952 1088 1162 1328 1411 1468 1904 2324 2569 2656 2822 2936 3808 4648 5138 5312 5644 5872 6239 7616 9296 9877 10276 11288 11744 12478 18592 19754 20552 22576 23488 24956 30461 37184 39508 41104 43673 45152 49912 60922 79016 82208 87346 90304 99824 121844 158032 164416 174692 199648 213227 243688 316064 349384 399296 426454 487376 517837 632128 698768 852908 974752 1035674 1397536 1705816 1949504 2071348 2795072 3411632 3624859 4142696 6823264 7249718 8285392 13646528 14499436 16570784 28998872 33141568 57997744 115995488 231990976