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238155480 = 233251275209
BaseRepresentation
bin11100011000111…
…11011011011000
3121121010112220100
432030133123120
5441431433410
635344255400
75621200563
oct1614373330
9547115810
10238155480
11112483812
1267911560
133a456404
14238b54da
1515d948c0
hexe31f6d8

238155480 has 96 divisors (see below), whose sum is σ = 780249600. Its totient is φ = 62995968.

The previous prime is 238155479. The next prime is 238155497. The reversal of 238155480 is 84551832.

It is a happy number.

238155480 is a `hidden beast` number, since 23 + 8 + 1 + 554 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43116 + ... + 48324.

It is an arithmetic number, because the mean of its divisors is an integer number (8127600).

Almost surely, 2238155480 is an apocalyptic number.

238155480 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 238155480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390124800).

238155480 is an abundant number, since it is smaller than the sum of its proper divisors (542094120).

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

238155480 is a wasteful number, since it uses less digits than its factorization.

238155480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 238155480 is about 15432.2869335689. The cubic root of 238155480 is about 619.8503627780.

The spelling of 238155480 in words is "two hundred thirty-eight million, one hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4572 5080 5209 5715 7620 9144 10418 11430 15240 15627 20836 22860 26045 31254 41672 45720 46881 52090 62508 78135 93762 104180 125016 156270 187524 208360 234405 312540 375048 468810 625080 661543 937620 1323086 1875240 1984629 2646172 3307715 3969258 5292344 5953887 6615430 7938516 9923145 11907774 13230860 15877032 19846290 23815548 26461720 29769435 39692580 47631096 59538870 79385160 119077740 238155480