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226502820 = 223251258349
BaseRepresentation
bin11011000000000…
…10100010100100
3120210012112110100
431200002202210
5430441042240
634250424100
75420146035
oct1540024244
9523175410
10226502820
11106944a15
1263a32030
1337c0654b
1422120a8c
1514d41e30
hexd8028a4

226502820 has 36 divisors (see below), whose sum is σ = 687059100. Its totient is φ = 60400704.

The previous prime is 226502777. The next prime is 226502879. The reversal of 226502820 is 28205622.

226502820 is a `hidden beast` number, since 2 + 2 + 650 + 2 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 148498596 = 8832^2 + 12186^2 .

It is a tau number, because it is divible by the number of its divisors (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, 628995 + ... + 629354.

It is an arithmetic number, because the mean of its divisors is an integer number (19084975).

Almost surely, 2226502820 is an apocalyptic number.

226502820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226502820 is an abundant number, since it is smaller than the sum of its proper divisors (460556280).

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

226502820 is a wasteful number, since it uses less digits than its factorization.

226502820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258364 (or 1258359 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 226502820 is about 15050.0106312255. The cubic root of 226502820 is about 609.5713372867.

The spelling of 226502820 in words is "two hundred twenty-six million, five hundred two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1258349 2516698 3775047 5033396 6291745 7550094 11325141 12583490 15100188 18875235 22650282 25166980 37750470 45300564 56625705 75500940 113251410 226502820