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238490880 = 2835173359
BaseRepresentation
bin11100011011100…
…01010100000000
3121121202120222120
432031301110000
5442023202010
635355404240
75624065455
oct1615612400
9547676876
10238490880
11112692801
1267a53680
133a542c84
142396182c
1515e0de70
hexe371500

238490880 has 144 divisors (see below), whose sum is σ = 768216960. Its totient is φ = 63053824.

The previous prime is 238490873. The next prime is 238490899. The reversal of 238490880 is 88094832.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 664141 + ... + 664499.

It is an arithmetic number, because the mean of its divisors is an integer number (5334840).

Almost surely, 2238490880 is an apocalyptic number.

238490880 is a gapful number since it is divisible by the number (20) 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 238490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384108480).

238490880 is an abundant number, since it is smaller than the sum of its proper divisors (529726080).

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

238490880 is a wasteful number, since it uses less digits than its factorization.

238490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 238490880 is about 15443.1499377556. The cubic root of 238490880 is about 620.1412095981.

The spelling of 238490880 in words is "two hundred thirty-eight million, four hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 173 192 240 256 320 346 359 384 480 519 640 692 718 768 865 960 1038 1077 1280 1384 1436 1730 1795 1920 2076 2154 2595 2768 2872 3460 3590 3840 4152 4308 5190 5385 5536 5744 6920 7180 8304 8616 10380 10770 11072 11488 13840 14360 16608 17232 20760 21540 22144 22976 27680 28720 33216 34464 41520 43080 44288 45952 55360 57440 62107 66432 68928 83040 86160 91904 110720 114880 124214 132864 137856 166080 172320 186321 221440 229760 248428 275712 310535 332160 344640 372642 459520 496856 621070 664320 689280 745284 931605 993712 1242140 1378560 1490568 1863210 1987424 2484280 2981136 3726420 3974848 4968560 5962272 7452840 7949696 9937120 11924544 14905680 15899392 19874240 23849088 29811360 39748480 47698176 59622720 79496960 119245440 238490880