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228128580 = 223251267381
BaseRepresentation
bin11011001100011…
…11011101000100
3120220021010120200
431212033131010
5431400103310
634345330500
75440026621
oct1546173504
9526233520
10228128580
11107855419
1264496a30
1338355534
1422425348
15150639c0
hexd98f744

228128580 has 36 divisors (see below), whose sum is σ = 691990572. Its totient is φ = 60834240.

The previous prime is 228128543. The next prime is 228128617. The reversal of 228128580 is 85821822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228128543) and next prime (228128617).

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 199996164 = 5304^2 + 14142^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633511 + ... + 633870.

Almost surely, 2228128580 is an apocalyptic number.

228128580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228128580 is an abundant number, since it is smaller than the sum of its proper divisors (463861992).

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

228128580 is a wasteful number, since it uses less digits than its factorization.

228128580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267396 (or 1267391 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 228128580 is about 15103.9259796915. The cubic root of 228128580 is about 611.0262934871.

The spelling of 228128580 in words is "two hundred twenty-eight million, one hundred twenty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1267381 2534762 3802143 5069524 6336905 7604286 11406429 12673810 15208572 19010715 22812858 25347620 38021430 45625716 57032145 76042860 114064290 228128580