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226908384 = 25317257541
BaseRepresentation
bin11011000011001…
…01100011100000
3120210222010210020
431201211203200
5431042032014
634303233440
75423455323
oct1541454340
9523863706
10226908384
111070a169a
1263ba8880
1338019021
14221c87ba
1514dc21a9
hexd8658e0

226908384 has 96 divisors (see below), whose sum is σ = 634296096. Its totient is φ = 70778880.

The previous prime is 226908379. The next prime is 226908413. The reversal of 226908384 is 483809622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419154 + ... + 419694.

It is an arithmetic number, because the mean of its divisors is an integer number (6607251).

Almost surely, 2226908384 is an apocalyptic number.

226908384 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 226908384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317148048).

226908384 is an abundant number, since it is smaller than the sum of its proper divisors (407387712).

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

226908384 is a wasteful number, since it uses less digits than its factorization.

226908384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 226908384 is about 15063.4784827410. The cubic root of 226908384 is about 609.9349424481.

The spelling of 226908384 in words is "two hundred twenty-six million, nine hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 257 272 408 514 541 544 771 816 1028 1082 1542 1623 1632 2056 2164 3084 3246 4112 4328 4369 6168 6492 8224 8656 8738 9197 12336 12984 13107 17312 17476 18394 24672 25968 26214 27591 34952 36788 51936 52428 55182 69904 73576 104856 110364 139037 139808 147152 209712 220728 278074 294304 417111 419424 441456 556148 834222 882912 1112296 1668444 2224592 2363629 3336888 4449184 4727258 6673776 7090887 9454516 13347552 14181774 18909032 28363548 37818064 56727096 75636128 113454192 226908384