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228484100 = 225213175757
BaseRepresentation
bin11011001111001…
…10010000000100
3120220221012021002
431213212100010
5431442442400
634401112432
75443040255
oct1547462004
9526835232
10228484100
11107a78539
1264628718
133844b2c0
14224b8b2c
15150d3ed5
hexd9e6404

228484100 has 36 divisors (see below), whose sum is σ = 533952804. Its totient is φ = 84362880.

The previous prime is 228484099. The next prime is 228484111. The reversal of 228484100 is 1484822.

It can be written as a sum of positive squares in 6 ways, for example, as 111556 + 228372544 = 334^2 + 15112^2 .

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, 86579 + ... + 89178.

Almost surely, 2228484100 is an apocalyptic number.

228484100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228484100 is an abundant number, since it is smaller than the sum of its proper divisors (305468704).

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

228484100 is a wasteful number, since it uses less digits than its factorization.

228484100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175784 (or 175777 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 228484100 is about 15115.6905234263. The cubic root of 228484100 is about 611.3435404819.

The spelling of 228484100 in words is "two hundred twenty-eight million, four hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 175757 351514 703028 878785 1757570 2284841 3515140 4393925 4569682 8787850 9139364 11424205 17575700 22848410 45696820 57121025 114242050 228484100