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226123660 = 22576724107
BaseRepresentation
bin11010111101001…
…01111110001100
3120202111021100101
431132211332030
5430341424120
634234340444
75414006440
oct1536457614
9522437311
10226123660
11106706064
126388a724
1337b02aa9
1422062820
1514cb990a
hexd7a5f8c

226123660 has 48 divisors (see below), whose sum is σ = 550819584. Its totient is φ = 76367808.

The previous prime is 226123637. The next prime is 226123663. The reversal of 226123660 is 66321622.

It is a happy number.

It is a super-2 number, since 2×2261236602 = 102263819223591200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (226123663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2674 + ... + 21433.

It is an arithmetic number, because the mean of its divisors is an integer number (11475408).

Almost surely, 2226123660 is an apocalyptic number.

226123660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226123660 is an abundant number, since it is smaller than the sum of its proper divisors (324695924).

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

226123660 is a wasteful number, since it uses less digits than its factorization.

226123660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24190 (or 24188 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 226123660 is about 15037.4086863395. The cubic root of 226123660 is about 609.2310116428.

It can be divided in two parts, 2261 and 23660, that added together give a square (25921 = 1612).

The spelling of 226123660 in words is "two hundred twenty-six million, one hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 24107 48214 96428 120535 168749 241070 337498 482140 674996 843745 1615169 1687490 3230338 3374980 6460676 8075845 11306183 16151690 22612366 32303380 45224732 56530915 113061830 226123660