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226888128 = 26371621
BaseRepresentation
bin11011000011000…
…00100111000000
3120210221010000000
431201200213000
5431040410003
634303000000
75423342265
oct1541404700
9523833000
10226888128
11107088455
1263b99000
133800ca3c
14221c126c
1514dbb1a3
hexd8609c0

226888128 has 112 divisors (see below), whose sum is σ = 675660320. Its totient is φ = 75582720.

The previous prime is 226888073. The next prime is 226888147. The reversal of 226888128 is 821888622.

It is a nude number because it is divisible by every one of its digits.

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, 139158 + ... + 140778.

Almost surely, 2226888128 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 226888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337830160).

226888128 is an abundant number, since it is smaller than the sum of its proper divisors (448772192).

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

226888128 is an frugal number, since it uses more digits than its factorization.

226888128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1626 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 226888128 is about 15062.8061130720. The cubic root of 226888128 is about 609.9167923771.

The spelling of 226888128 in words is "two hundred twenty-six million, eight hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1621 1728 1944 2187 2592 2916 3242 3888 4374 4863 5184 5832 6484 7776 8748 9726 11664 12968 14589 15552 17496 19452 23328 25936 29178 34992 38904 43767 46656 51872 58356 69984 77808 87534 103744 116712 131301 139968 155616 175068 233424 262602 311232 350136 393903 466848 525204 700272 787806 933696 1050408 1181709 1400544 1575612 2100816 2363418 2801088 3151224 3545127 4201632 4726836 6302448 7090254 8403264 9453672 12604896 14180508 18907344 25209792 28361016 37814688 56722032 75629376 113444064 226888128