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231989120 = 27511311063
BaseRepresentation
bin11011101001111…
…01111110000000
3121011112021020122
431310331332000
5433342122440
635004155412
75514606056
oct1564757600
9534467218
10231989120
11109a51950
1265838b68
13390a778c
1422b4c1d6
15155777b5
hexdd3df80

231989120 has 128 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 81561600.

The previous prime is 231989117. The next prime is 231989143. The reversal of 231989120 is 21989132.

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 (35) coincides with the sum of the digits of its prime factors.

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, 217709 + ... + 218771.

It is an arithmetic number, because the mean of its divisors is an integer number (4883760).

Almost surely, 2231989120 is an apocalyptic number.

231989120 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 231989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

231989120 is an abundant number, since it is smaller than the sum of its proper divisors (393132160).

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

231989120 is a wasteful number, since it uses less digits than its factorization.

231989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 231989120 is about 15231.1890540430. The cubic root of 231989120 is about 614.4537595827.

The spelling of 231989120 in words is "two hundred thirty-one million, nine hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 310 320 341 352 440 496 620 640 682 704 880 992 1063 1240 1364 1408 1705 1760 1984 2126 2480 2728 3410 3520 3968 4252 4960 5315 5456 6820 7040 8504 9920 10630 10912 11693 13640 17008 19840 21260 21824 23386 27280 32953 34016 42520 43648 46772 54560 58465 65906 68032 85040 93544 109120 116930 131812 136064 164765 170080 187088 218240 233860 263624 329530 340160 362483 374176 467720 527248 659060 680320 724966 748352 935440 1054496 1318120 1449932 1496704 1812415 1870880 2108992 2636240 2899864 3624830 3741760 4217984 5272480 5799728 7249660 7483520 10544960 11599456 14499320 21089920 23198912 28998640 46397824 57997280 115994560 231989120