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238120992 = 25331971399
BaseRepresentation
bin11100011000101…
…11000000100000
3121121001210121000
432030113000200
5441424332432
635343432000
75620665204
oct1614270040
9547053530
10238120992
1111245a90a
12678b5600
133a4437c5
14238a6b04
1515d8957c
hexe317020

238120992 has 96 divisors (see below), whose sum is σ = 698544000. Its totient is φ = 78914304.

The previous prime is 238120979. The next prime is 238120999. The reversal of 238120992 is 299021832.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238120999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169509 + ... + 170907.

It is an arithmetic number, because the mean of its divisors is an integer number (7276500).

Almost surely, 2238120992 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 238120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349272000).

238120992 is an abundant number, since it is smaller than the sum of its proper divisors (460423008).

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

238120992 is a wasteful number, since it uses less digits than its factorization.

238120992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 238120992 is about 15431.1694955373. The cubic root of 238120992 is about 619.8204405449.

The spelling of 238120992 in words is "two hundred thirty-eight million, one hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 197 216 288 394 432 591 788 864 1182 1399 1576 1773 2364 2798 3152 3546 4197 4728 5319 5596 6304 7092 8394 9456 10638 11192 12591 14184 16788 18912 21276 22384 25182 28368 33576 37773 42552 44768 50364 56736 67152 75546 85104 100728 134304 151092 170208 201456 275603 302184 402912 551206 604368 826809 1102412 1208736 1653618 2204824 2480427 3307236 4409648 4960854 6614472 7441281 8819296 9921708 13228944 14882562 19843416 26457888 29765124 39686832 59530248 79373664 119060496 238120992