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231007680 = 2633526737
BaseRepresentation
bin11011100010011…
…10010111000000
3121002200101222000
431301032113000
5433114221210
634531144000
75503350531
oct1561162700
9532611860
10231007680
11109441542
1265445000
1338b22b47
1422974688
1515431ac0
hexdc4e5c0

231007680 has 112 divisors (see below), whose sum is σ = 814974240. Its totient is φ = 61599744.

The previous prime is 231007669. The next prime is 231007703. The reversal of 231007680 is 86700132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4729 + ... + 22008.

Almost surely, 2231007680 is an apocalyptic number.

231007680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407487120).

231007680 is an abundant number, since it is smaller than the sum of its proper divisors (583966560).

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

231007680 is a wasteful number, since it uses less digits than its factorization.

231007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26763 (or 26747 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 231007680 is about 15198.9368049216. The cubic root of 231007680 is about 613.5860437301.

The spelling of 231007680 in words is "two hundred thirty-one million, seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 26737 53474 80211 106948 133685 160422 213896 240633 267370 320844 401055 427792 481266 534740 641688 721899 802110 855584 962532 1069480 1203165 1283376 1443798 1604220 1711168 1925064 2138960 2406330 2566752 2887596 3208440 3609495 3850128 4277920 4812660 5133504 5775192 6416880 7218990 7700256 8555840 9625320 11550384 12833760 14437980 15400512 19250640 23100768 25667520 28875960 38501280 46201536 57751920 77002560 115503840 231007680