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238988016 = 243341103131
BaseRepresentation
bin11100011111010…
…10101011110000
3121122200211221000
432033222223300
5442140104031
635414202000
75631236031
oct1617525360
9548624830
10238988016
111129a2263
1268053300
133a688337
1423a50a88
1515eab3e6
hexe3eaaf0

238988016 has 160 divisors (see below), whose sum is σ = 714954240. Its totient is φ = 76377600.

The previous prime is 238988011. The next prime is 238988027. The reversal of 238988016 is 610889832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238988011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1824271 + ... + 1824401.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2238988016 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 238988016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

238988016 is an abundant number, since it is smaller than the sum of its proper divisors (475966224).

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

238988016 is a wasteful number, since it uses less digits than its factorization.

238988016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 238988016 is about 15459.2372386221. The cubic root of 238988016 is about 620.5718068520.

The spelling of 238988016 in words is "two hundred thirty-eight million, nine hundred eighty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 103 108 123 131 144 164 206 216 246 262 309 328 369 393 412 432 492 524 618 656 738 786 824 927 984 1048 1107 1179 1236 1476 1572 1648 1854 1968 2096 2214 2358 2472 2781 2952 3144 3537 3708 4223 4428 4716 4944 5371 5562 5904 6288 7074 7416 8446 8856 9432 10742 11124 12669 13493 14148 14832 16113 16892 17712 18864 21484 22248 25338 26986 28296 32226 33784 38007 40479 42968 44496 48339 50676 53972 56592 64452 67568 76014 80958 85936 96678 101352 107944 114021 121437 128904 145017 152028 161916 193356 202704 215888 228042 242874 257808 290034 304056 323832 364311 386712 456084 485748 553213 580068 608112 647664 728622 773424 912168 971496 1106426 1160136 1457244 1659639 1824336 1942992 2212852 2320272 2914488 3319278 4425704 4978917 5828976 6638556 8851408 9957834 13277112 14936751 19915668 26554224 29873502 39831336 59747004 79662672 119494008 238988016