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231926328 = 2334713
BaseRepresentation
bin11011101001011…
…10101000111000
3121011102002010000
431310232220320
5433333120303
635002553000
75514225024
oct1564565070
9534362100
10231926328
11109a09757
1265808760
133908501a
1422b33384
1515563da3
hexdd2ea38

231926328 has 80 divisors (see below), whose sum is σ = 658888560. Its totient is φ = 76219920.

The previous prime is 231926297. The next prime is 231926333. The reversal of 231926328 is 823629132.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

231926328 is a `hidden beast` number, since 2 + 3 + 19 + 2 + 632 + 8 = 666.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=426.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231926292 and 231926301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3266533 + ... + 3266603.

It is an arithmetic number, because the mean of its divisors is an integer number (8236107).

Almost surely, 2231926328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231926328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329444280).

231926328 is an abundant number, since it is smaller than the sum of its proper divisors (426962232).

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

231926328 is an frugal number, since it uses more digits than its factorization.

231926328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 76 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 231926328 is about 15229.1276178250. The cubic root of 231926328 is about 614.3983169510.

The spelling of 231926328 in words is "two hundred thirty-one million, nine hundred twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3834 5041 5112 5751 7668 10082 11502 15123 15336 20164 23004 30246 40328 45369 46008 60492 90738 120984 136107 181476 272214 357911 362952 408321 544428 715822 816642 1073733 1088856 1431644 1633284 2147466 2863288 3221199 3266568 4294932 6442398 8589864 9663597 12884796 19327194 25769592 28990791 38654388 57981582 77308776 115963164 231926328