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238228992 = 293319907
BaseRepresentation
bin11100011001100…
…01011000000000
3121121021021202000
432030301120000
5441441311432
635350024000
75621625111
oct1614613000
9547237660
10238228992
11112523a71
1267948000
133a480a01
14238d4208
1515dab57c
hexe331600

238228992 has 160 divisors (see below), whose sum is σ = 743107200. Its totient is φ = 75147264.

The previous prime is 238228957. The next prime is 238228999. The reversal of 238228992 is 299822832.

238228992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238228999) 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, 262203 + ... + 263109.

It is an arithmetic number, because the mean of its divisors is an integer number (4644420).

Almost surely, 2238228992 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 238228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371553600).

238228992 is an abundant number, since it is smaller than the sum of its proper divisors (504878208).

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

238228992 is an equidigital number, since it uses as much as digits as its factorization.

238228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 931 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 238228992 is about 15434.6685095599. The cubic root of 238228992 is about 619.9141330963.

The spelling of 238228992 in words is "two hundred thirty-eight million, two hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 907 912 1026 1152 1216 1368 1536 1728 1814 1824 2052 2304 2432 2721 2736 3456 3628 3648 4104 4608 4864 5442 5472 6912 7256 7296 8163 8208 9728 10884 10944 13824 14512 14592 16326 16416 17233 21768 21888 24489 29024 29184 32652 32832 34466 43536 43776 48978 51699 58048 65304 65664 68932 87072 87552 97956 103398 116096 130608 131328 137864 155097 174144 195912 206796 232192 261216 262656 275728 310194 348288 391824 413592 464384 465291 522432 551456 620388 696576 783648 827184 930582 1044864 1102912 1240776 1393152 1567296 1654368 1861164 2089728 2205824 2481552 3134592 3308736 3722328 4179456 4411648 4963104 6269184 6617472 7444656 8823296 9926208 12538368 13234944 14889312 19852416 26469888 29778624 39704832 59557248 79409664 119114496 238228992