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231081280 = 2652937673
BaseRepresentation
bin11011100011000…
…00010101000000
3121002211010220221
431301200111000
5433124100110
634532512424
75504105233
oct1561402500
9532733827
10231081280
11109491871
126547b714
1338b4a4b1
142299341a
15154487da
hexdc60540

231081280 has 112 divisors (see below), whose sum is σ = 585490320. Its totient is φ = 86704128.

The previous prime is 231081247. The next prime is 231081283. The reversal of 231081280 is 82180132.

It can be written as a sum of positive squares in 8 ways, for example, as 1498176 + 229583104 = 1224^2 + 15152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231081283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343024 + ... + 343696.

Almost surely, 2231081280 is an apocalyptic number.

231081280 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 231081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292745160).

231081280 is an abundant number, since it is smaller than the sum of its proper divisors (354409040).

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

231081280 is a wasteful number, since it uses less digits than its factorization.

231081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 231081280 is about 15201.3578340884. The cubic root of 231081280 is about 613.6512004926.

It can be divided in two parts, 231081 and 280, that added together give a square (231361 = 4812).

The spelling of 231081280 in words is "two hundred thirty-one million, eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 74 80 116 145 148 160 185 232 290 296 320 370 464 580 592 673 740 928 1073 1160 1184 1346 1480 1856 2146 2320 2368 2692 2960 3365 4292 4640 5365 5384 5920 6730 8584 9280 10730 10768 11840 13460 17168 19517 21460 21536 24901 26920 34336 39034 42920 43072 49802 53840 68672 78068 85840 97585 99604 107680 124505 156136 171680 195170 199208 215360 249010 312272 343360 390340 398416 498020 624544 722129 780680 796832 996040 1249088 1444258 1561360 1593664 1992080 2888516 3122720 3610645 3984160 5777032 6245440 7221290 7968320 11554064 14442580 23108128 28885160 46216256 57770320 115540640 231081280