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228138368 = 2717591777
BaseRepresentation
bin11011001100100…
…01110110000000
3120220021122000012
431212101312000
5431400411433
634345444052
75440100303
oct1546216600
9526248005
10228138368
11107861807
12644a0628
1338359b23
1422428b3a
1515066848
hexd991d80

228138368 has 64 divisors (see below), whose sum is σ = 489661200. Its totient is φ = 105480192.

The previous prime is 228138343. The next prime is 228138401. The reversal of 228138368 is 863831822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2281383682 = 104094229907406848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127496 + ... + 129272.

Almost surely, 2228138368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244830600).

228138368 is an abundant number, since it is smaller than the sum of its proper divisors (261522832).

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

228138368 is a wasteful number, since it uses less digits than its factorization.

228138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1855 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 228138368 is about 15104.2499979310. The cubic root of 228138368 is about 611.0350321845.

The spelling of 228138368 in words is "two hundred twenty-eight million, one hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 128 136 236 272 472 544 944 1003 1088 1777 1888 2006 2176 3554 3776 4012 7108 7552 8024 14216 16048 28432 30209 32096 56864 60418 64192 104843 113728 120836 128384 209686 227456 241672 419372 483344 838744 966688 1677488 1782331 1933376 3354976 3564662 3866752 6709952 7129324 13419904 14258648 28517296 57034592 114069184 228138368