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228526896 = 243132315923
BaseRepresentation
bin11011001111100…
…00101100110000
3120221000100222010
431213300230300
5432000330041
634402042520
75443306113
oct1547605460
9527010863
10228526896
11107aa7704
1264649440
1338464920
14224ca57a
15150e1a16
hexd9f0b30

228526896 has 80 divisors (see below), whose sum is σ = 663457536. Its totient is φ = 67254528.

The previous prime is 228526891. The next prime is 228526933. The reversal of 228526896 is 698625822.

228526896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (228526891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6391 + ... + 22313.

Almost surely, 2228526896 is an apocalyptic number.

228526896 is a gapful number since it is divisible by the number (26) 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 228526896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331728768).

228526896 is an abundant number, since it is smaller than the sum of its proper divisors (434930640).

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

228526896 is a wasteful number, since it uses less digits than its factorization.

228526896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15970 (or 15964 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 228526896 is about 15117.1060722613. The cubic root of 228526896 is about 611.3817071418.

The spelling of 228526896 in words is "two hundred twenty-eight million, five hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 14352 15923 31846 47769 63692 95538 127384 191076 206999 254768 366229 382152 413998 620997 732458 764304 827996 1098687 1241994 1464916 1655992 2197374 2483988 2929832 3311984 4394748 4760977 4967976 5859664 8789496 9521954 9935952 14282931 17578992 19043908 28565862 38087816 57131724 76175632 114263448 228526896