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238422272 = 2811243179
BaseRepresentation
bin11100011011000…
…00100100000000
3121121122002212112
432031200210000
5442014003042
635354114452
75623361444
oct1615404400
9547562775
10238422272
11112646200
1267a1ba28
133a51a98a
1423944824
1515de8982
hexe360900

238422272 has 108 divisors (see below), whose sum is σ = 538266960. Its totient is φ = 105262080.

The previous prime is 238422269. The next prime is 238422281. The reversal of 238422272 is 272224832.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331879 + ... + 1332057.

Almost surely, 2238422272 is an apocalyptic number.

238422272 is a gapful number since it is divisible by the number (22) 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 238422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269133480).

238422272 is an abundant number, since it is smaller than the sum of its proper divisors (299844688).

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

238422272 is a wasteful number, since it uses less digits than its factorization.

238422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 235 counting only the distinct ones).

The product of its digits is 21504, while the sum is 32.

The square root of 238422272 is about 15440.9284694930. The cubic root of 238422272 is about 620.0817374027.

The spelling of 238422272 in words is "two hundred thirty-eight million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 121 128 172 176 179 242 256 344 352 358 473 484 688 704 716 946 968 1376 1408 1432 1892 1936 1969 2752 2816 2864 3784 3872 3938 5203 5504 5728 7568 7697 7744 7876 10406 11008 11456 15136 15394 15488 15752 20812 21659 22912 30272 30788 30976 31504 41624 43318 45824 60544 61576 63008 83248 84667 86636 121088 123152 126016 166496 169334 173272 246304 252032 332992 338668 346544 492608 504064 665984 677336 693088 931337 985216 1331968 1354672 1386176 1862674 1970432 2709344 2772352 3725348 5418688 5544704 7450696 10837376 14901392 21674752 29802784 59605568 119211136 238422272