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226872384 = 2633147811
BaseRepresentation
bin11011000010111…
…00110001000000
3120210220022101220
431201130301000
5431034404014
634302355040
75423245344
oct1541346100
9523808356
10226872384
11107077642
1263b8ba80
133800581b
14221b9624
1514db66a9
hexd85cc40

226872384 has 112 divisors (see below), whose sum is σ = 633593856. Its totient is φ = 71539200.

The previous prime is 226872377. The next prime is 226872389. The reversal of 226872384 is 483278622.

It is not an unprimeable number, because it can be changed into a prime (226872389) by changing a digit.

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, 279339 + ... + 280149.

It is an arithmetic number, because the mean of its divisors is an integer number (5657088).

Almost surely, 2226872384 is an apocalyptic number.

226872384 is a gapful number since it is divisible by the number (24) 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 226872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316796928).

226872384 is an abundant number, since it is smaller than the sum of its proper divisors (406721472).

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

226872384 is a wasteful number, since it uses less digits than its factorization.

226872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 226872384 is about 15062.2834922199. The cubic root of 226872384 is about 609.9026844668.

The spelling of 226872384 in words is "two hundred twenty-six million, eight hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 141 186 188 192 248 282 372 376 496 564 744 752 811 992 1128 1457 1488 1504 1622 1984 2256 2433 2914 2976 3008 3244 4371 4512 4866 5828 5952 6488 8742 9024 9732 11656 12976 17484 19464 23312 25141 25952 34968 38117 38928 46624 50282 51904 69936 75423 76234 77856 93248 100564 114351 139872 150846 152468 155712 201128 228702 279744 301692 304936 402256 457404 603384 609872 804512 914808 1181627 1206768 1219744 1609024 1829616 2363254 2413536 2439488 3544881 3659232 4726508 4827072 7089762 7318464 9453016 14179524 18906032 28359048 37812064 56718096 75624128 113436192 226872384