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226376696 = 237131033019
BaseRepresentation
bin11010111111000…
…11101111111000
3120202222010110002
431133203233320
5430423023241
634244012132
75416112240
oct1537435770
9522863402
10226376696
11106869187
1263991048
1337b91010
14220cab20
1514d1989b
hexd7e3bf8

226376696 has 64 divisors (see below), whose sum is σ = 527654400. Its totient is φ = 88656768.

The previous prime is 226376677. The next prime is 226376699. The reversal of 226376696 is 696673622.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 226376696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226376699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73475 + ... + 76493.

It is an arithmetic number, because the mean of its divisors is an integer number (8244600).

Almost surely, 2226376696 is an apocalyptic number.

226376696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226376696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263827200).

226376696 is an abundant number, since it is smaller than the sum of its proper divisors (301277704).

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

226376696 is a wasteful number, since it uses less digits than its factorization.

226376696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3144 counting only the distinct ones).

The product of its digits is 979776, while the sum is 47.

The square root of 226376696 is about 15045.8198846058. The cubic root of 226376696 is about 609.4581733537.

The spelling of 226376696 in words is "two hundred twenty-six million, three hundred seventy-six thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 103 104 182 206 364 412 721 728 824 1339 1442 2678 2884 3019 5356 5768 6038 9373 10712 12076 18746 21133 24152 37492 39247 42266 74984 78494 84532 156988 169064 274729 310957 313976 549458 621914 1098916 1243828 2176699 2197832 2487656 4042441 4353398 8084882 8706796 16169764 17413592 28297087 32339528 56594174 113188348 226376696