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226924096 = 26722692
BaseRepresentation
bin11011000011010…
…01011001000000
3120210222221100011
431201221121000
5431043032341
634303434304
75423552200
oct1541513100
9523887304
10226924096
11107102483
1263bb5994
1338023219
14221d0400
1514dc6b81
hexd869640

226924096 has 63 divisors (see below), whose sum is σ = 525775809. Its totient is φ = 96891648.

The previous prime is 226924091. The next prime is 226924099. The reversal of 226924096 is 690429622.

It is a happy number.

The square root of 226924096 is 15064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14930496 + 211993600 = 3864^2 + 14560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (226924091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 843450 + ... + 843718.

Almost surely, 2226924096 is an apocalyptic number.

226924096 is the 15064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226924096

226924096 is an abundant number, since it is smaller than the sum of its proper divisors (298851713).

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

226924096 is an frugal number, since it uses more digits than its factorization.

226924096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 226924096 is about 609.9490201954.

The spelling of 226924096 in words is "two hundred twenty-six million, nine hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 269 392 448 538 784 1076 1568 1883 2152 3136 3766 4304 7532 8608 13181 15064 17216 26362 30128 52724 60256 72361 105448 120512 144722 210896 289444 421792 506527 578888 843584 1013054 1157776 2026108 2315552 3545689 4052216 4631104 7091378 8104432 14182756 16208864 28365512 32417728 56731024 113462048 226924096