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238699152 = 24322397743
BaseRepresentation
bin11100011101001…
…00001010010000
3121122011011200100
432032210022100
5442101333102
635404052400
75625623616
oct1616441220
9548134610
10238699152
1111281522a
1267b34100
133a5b6a03
14239b76b6
1515e50a1c
hexe3a4290

238699152 has 120 divisors (see below), whose sum is σ = 705204864. Its totient is φ = 75220992.

The previous prime is 238699141. The next prime is 238699169. The reversal of 238699152 is 251996832.

It is a junction number, because it is equal to n+sod(n) for n = 238699098 and 238699107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320893 + ... + 321635.

Almost surely, 2238699152 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 238699152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352602432).

238699152 is an abundant number, since it is smaller than the sum of its proper divisors (466505712).

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

238699152 is a wasteful number, since it uses less digits than its factorization.

238699152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 868 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 238699152 is about 15449.8916501055. The cubic root of 238699152 is about 620.3216783728.

The spelling of 238699152 in words is "two hundred thirty-eight million, six hundred ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 97 138 144 184 194 207 276 291 368 388 414 552 582 743 776 828 873 1104 1164 1486 1552 1656 1746 2229 2231 2328 2972 3312 3492 4458 4462 4656 5944 6687 6693 6984 8916 8924 11888 13374 13386 13968 17089 17832 17848 20079 26748 26772 34178 35664 35696 40158 51267 53496 53544 68356 72071 80316 102534 106992 107088 136712 144142 153801 160632 205068 216213 273424 288284 307602 321264 410136 432426 576568 615204 648639 820272 864852 1153136 1230408 1297278 1657633 1729704 2460816 2594556 3315266 3459408 4972899 5189112 6630532 9945798 10378224 13261064 14918697 19891596 26522128 29837394 39783192 59674788 79566384 119349576 238699152