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228166760 = 23515533673
BaseRepresentation
bin11011001100110…
…00110001101000
3120220100001221202
431212120301220
5431402314020
634350223332
75440246133
oct1546306150
9526301852
10228166760
11107881078
12644b4b48
1338369a23
142243521a
151506ee75
hexd998c68

228166760 has 32 divisors (see below), whose sum is σ = 513845640. Its totient is φ = 91183104.

The previous prime is 228166703. The next prime is 228166853. The reversal of 228166760 is 67661822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75446596 + 152720164 = 8686^2 + 12358^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60284 + ... + 63956.

Almost surely, 2228166760 is an apocalyptic number.

228166760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228166760 is an abundant number, since it is smaller than the sum of its proper divisors (285678880).

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

228166760 is a wasteful number, since it uses less digits than its factorization.

228166760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5233 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 228166760 is about 15105.1898366091. The cubic root of 228166760 is about 611.0603790637.

The spelling of 228166760 in words is "two hundred twenty-eight million, one hundred sixty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1553 3106 3673 6212 7346 7765 12424 14692 15530 18365 29384 31060 36730 62120 73460 146920 5704169 11408338 22816676 28520845 45633352 57041690 114083380 228166760