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238894157824 = 2127210912
BaseRepresentation
bin1101111001111100110…
…0111001000000000000
3211211121221111121201021
43132133030321000000
512403223401022244
6301425122515224
723155006560100
oct3363714710000
9754557447637
10238894157824
1192350584693
123a371205b14
13196b225684a
14b7c386d200
156332d1e284
hex379f339000

238894157824 has 117 divisors (see below), whose sum is σ = 556236565851. Its totient is φ = 102289367040.

The previous prime is 238894157779. The next prime is 238894157837. The reversal of 238894157824 is 428751498832.

It is a happy number.

The square root of 238894157824 is 488768.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 218967519 + ... + 218968609.

Almost surely, 2238894157824 is an apocalyptic number.

238894157824 is the 488768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238894157824

238894157824 is an abundant number, since it is smaller than the sum of its proper divisors (317342408027).

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

238894157824 is an frugal number, since it uses more digits than its factorization.

238894157824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 1100 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 61.

The spelling of 238894157824 in words is "two hundred thirty-eight billion, eight hundred ninety-four million, one hundred fifty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1091 1568 1792 2048 2182 3136 3584 4096 4364 6272 7168 7637 8728 12544 14336 15274 17456 25088 28672 30548 34912 50176 53459 61096 69824 100352 106918 122192 139648 200704 213836 244384 279296 427672 488768 558592 855344 977536 1117184 1190281 1710688 1955072 2234368 2380562 3421376 3910144 4468736 4761124 6842752 7820288 8331967 9522248 13685504 15640576 16663934 19044496 27371008 31281152 33327868 38088992 54742016 58323769 66655736 76177984 109484032 116647538 133311472 152355968 218968064 233295076 266622944 304711936 466590152 533245888 609423872 933180304 1066491776 1218847744 1866360608 2132983552 2437695488 3732721216 4265967104 4875390976 7465442432 8531934208 14930884864 17063868416 29861769728 34127736832 59723539456 119447078912 238894157824