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226528032 = 25319124193
BaseRepresentation
bin11011000000010…
…00101100100000
3120210020211001010
431200020230200
5430442344112
634251140520
75420312403
oct1540105440
9523224033
10226528032
11106961955
1263a44740
1337c14b73
1422129d3a
1514d4963c
hexd808b20

226528032 has 48 divisors (see below), whose sum is σ = 625937760. Its totient is φ = 71534592.

The previous prime is 226528021. The next prime is 226528037. The reversal of 226528032 is 230825622.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (226528037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60273 + ... + 63920.

It is an arithmetic number, because the mean of its divisors is an integer number (13040370).

Almost surely, 2226528032 is an apocalyptic number.

It is an amenable number.

226528032 is an abundant number, since it is smaller than the sum of its proper divisors (399409728).

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

226528032 is a wasteful number, since it uses less digits than its factorization.

226528032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124225 (or 124217 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 226528032 is about 15050.8482153000. The cubic root of 226528032 is about 609.5939535502.

The spelling of 226528032 in words is "two hundred twenty-six million, five hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 124193 248386 372579 496772 745158 993544 1490316 1987088 2359667 2980632 3974176 4719334 5961264 7079001 9438668 11922528 14158002 18877336 28316004 37754672 56632008 75509344 113264016 226528032