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231770040 = 23352717127
BaseRepresentation
bin11011101000010…
…00011110111000
3121011010010201120
431310020132320
5433313120130
634555345240
75513004255
oct1564103670
9534103646
10231770040
11109912297
1265752220
133902bb48
1422ad242c
1515532910
hexdd087b8

231770040 has 64 divisors (see below), whose sum is σ = 697973760. Its totient is φ = 61568640.

The previous prime is 231770029. The next prime is 231770093. The reversal of 231770040 is 40077132.

231770040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 28957 + ... + 36083.

It is an arithmetic number, because the mean of its divisors is an integer number (10905840).

Almost surely, 2231770040 is an apocalyptic number.

231770040 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 231770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348986880).

231770040 is an abundant number, since it is smaller than the sum of its proper divisors (466203720).

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

231770040 is a wasteful number, since it uses less digits than its factorization.

231770040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 231770040 is about 15223.9955333677. The cubic root of 231770040 is about 614.2602779135.

The spelling of 231770040 in words is "two hundred thirty-one million, seven hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 7127 8130 10840 14254 16260 21381 28508 32520 35635 42762 57016 71270 85524 106905 142540 171048 213810 285080 427620 855240 1931417 3862834 5794251 7725668 9657085 11588502 15451336 19314170 23177004 28971255 38628340 46354008 57942510 77256680 115885020 231770040