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226911320 = 2353125903
BaseRepresentation
bin11011000011001…
…10010001011000
3120210222021210222
431201212101120
5431042130240
634303255212
75423500016
oct1541462130
9523867728
10226911320
111070a3919
1263baa508
133801a46c
14221c98b6
1514dc2eb5
hexd866458

226911320 has 48 divisors (see below), whose sum is σ = 527640480. Its totient is φ = 87821760.

The previous prime is 226911287. The next prime is 226911323. The reversal of 226911320 is 23119622.

It is a self number, because there is not a number n which added to its sum of digits gives 226911320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226911323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35489 + ... + 41391.

It is an arithmetic number, because the mean of its divisors is an integer number (10992510).

Almost surely, 2226911320 is an apocalyptic number.

226911320 is a gapful number since it is divisible by the number (20) 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 226911320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263820240).

226911320 is an abundant number, since it is smaller than the sum of its proper divisors (300729160).

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

226911320 is a wasteful number, since it uses less digits than its factorization.

226911320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 226911320 is about 15063.5759366759. The cubic root of 226911320 is about 609.9375731152.

The spelling of 226911320 in words is "two hundred twenty-six million, nine hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 961 1240 1922 3844 4805 5903 7688 9610 11806 19220 23612 29515 38440 47224 59030 118060 182993 236120 365986 731972 914965 1463944 1829930 3659860 5672783 7319720 11345566 22691132 28363915 45382264 56727830 113455660 226911320