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226820916 = 223275231721
BaseRepresentation
bin11011000010100…
…00001100110100
3120210210200210200
431201100030310
5431031232131
634301320500
75422642320
oct1541201464
9523720720
10226820916
11107041a03
1263b66130
1337cb827a
14221a4980
1514da62e6
hexd850334

226820916 has 72 divisors (see below), whose sum is σ = 656894784. Its totient is φ = 64644480.

The previous prime is 226820911. The next prime is 226820933. The reversal of 226820916 is 619028622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226820911) 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 23 ways as a sum of consecutive naturals, for example, 130936 + ... + 132656.

Almost surely, 2226820916 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 226820916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328447392).

226820916 is an abundant number, since it is smaller than the sum of its proper divisors (430073868).

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

226820916 is a wasteful number, since it uses less digits than its factorization.

226820916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 226820916 is about 15060.5748894257. The cubic root of 226820916 is about 609.8565603788.

The spelling of 226820916 in words is "two hundred twenty-six million, eight hundred twenty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 523 1046 1569 1721 2092 3138 3442 3661 4707 5163 6276 6884 7322 9414 10326 10983 12047 14644 15489 18828 20652 21966 24094 30978 32949 36141 43932 48188 61956 65898 72282 108423 131796 144564 216846 433692 900083 1800166 2700249 3600332 5400498 6300581 8100747 10800996 12601162 16201494 18901743 25202324 32402988 37803486 56705229 75606972 113410458 226820916