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226121600 = 275270663
BaseRepresentation
bin11010111101001…
…01011110000000
3120202111011112002
431132211132000
5430341342400
634234323132
75414000435
oct1536453600
9522434462
10226121600
11106704561
12638894a8
1337b01b83
1422061b8c
1514cb8ed5
hexd7a5780

226121600 has 48 divisors (see below), whose sum is σ = 558598920. Its totient is φ = 90447360.

The previous prime is 226121593. The next prime is 226121611. The reversal of 226121600 is 6121622.

It is a happy number.

226121600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261216002 = 102261955973120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32132 + ... + 38531.

Almost surely, 2226121600 is an apocalyptic number.

226121600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226121600 is an abundant number, since it is smaller than the sum of its proper divisors (332477320).

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

226121600 is an equidigital number, since it uses as much as digits as its factorization.

226121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70687 (or 70670 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 226121600 is about 15037.3401903395. The cubic root of 226121600 is about 609.2291615936.

The spelling of 226121600 in words is "two hundred twenty-six million, one hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 70663 141326 282652 353315 565304 706630 1130608 1413260 1766575 2261216 2826520 3533150 4522432 5653040 7066300 9044864 11306080 14132600 22612160 28265200 45224320 56530400 113060800 226121600