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226451136 = 2631378609
BaseRepresentation
bin11010111111101…
…01111011000000
3120210002220120010
431133311323000
5430432414021
634245344520
75416542252
oct1537657300
9523086503
10226451136
1110690a0aa
1263a08140
1337bb8b72
1422109cd2
1514d31976
hexd7f5ec0

226451136 has 56 divisors (see below), whose sum is σ = 603595440. Its totient is φ = 74924032.

The previous prime is 226451131. The next prime is 226451143. The reversal of 226451136 is 631154622.

It is not an unprimeable number, because it can be changed into a prime (226451131) 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 7 ways as a sum of consecutive naturals, for example, 22000 + ... + 30608.

It is an arithmetic number, because the mean of its divisors is an integer number (10778490).

Almost surely, 2226451136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226451136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301797720).

226451136 is an abundant number, since it is smaller than the sum of its proper divisors (377144304).

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

226451136 is a wasteful number, since it uses less digits than its factorization.

226451136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761 (or 8751 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 226451136 is about 15048.2934580636. The cubic root of 226451136 is about 609.5249692376.

The spelling of 226451136 in words is "two hundred twenty-six million, four hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 6576 8609 8768 13152 17218 25827 26304 34436 51654 68872 103308 137744 206616 275488 413232 550976 826464 1179433 1652928 2358866 3538299 4717732 7076598 9435464 14153196 18870928 28306392 37741856 56612784 75483712 113225568 226451136