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222268896 = 25326131259
BaseRepresentation
bin11010011111110…
…00110111100000
3120111020102121100
431033320313200
5423400101041
634015554400
75336153163
oct1517706740
9514212540
10222268896
11104512a03
126252ba00
1337083375
142173bada
15147a76b6
hexd3f8de0

222268896 has 72 divisors (see below), whose sum is σ = 633611160. Its totient is φ = 73910016.

The previous prime is 222268889. The next prime is 222268939. The reversal of 222268896 is 698862222.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175915 + ... + 177173.

It is an arithmetic number, because the mean of its divisors is an integer number (8800155).

Almost surely, 2222268896 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 222268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316805580).

222268896 is an abundant number, since it is smaller than the sum of its proper divisors (411342264).

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

222268896 is a wasteful number, since it uses less digits than its factorization.

222268896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1877 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 222268896 is about 14908.6852539049. The cubic root of 222268896 is about 605.7492672502.

The spelling of 222268896 in words is "two hundred twenty-two million, two hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 613 1226 1259 1839 2452 2518 3678 3777 4904 5036 5517 7356 7554 9808 10072 11034 11331 14712 15108 19616 20144 22068 22662 29424 30216 40288 44136 45324 58848 60432 88272 90648 120864 176544 181296 362592 771767 1543534 2315301 3087068 4630602 6174136 6945903 9261204 12348272 13891806 18522408 24696544 27783612 37044816 55567224 74089632 111134448 222268896