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226097568 = 2534194591
BaseRepresentation
bin11010111100111…
…11100110100000
3120202102221120000
431132133212200
5430340110233
634234020000
75413540404
oct1536374640
9522387500
10226097568
111066984a4
1263877600
1337ac3c58
1422057104
1514cb1d13
hexd79f9a0

226097568 has 120 divisors (see below), whose sum is σ = 700096320. Its totient is φ = 71383680.

The previous prime is 226097563. The next prime is 226097579. The reversal of 226097568 is 865790622.

226097568 is a `hidden beast` number, since 22 + 60 + 9 + 7 + 568 = 666.

It is a super-2 number, since 2×2260975682 = 102240220511029248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226097563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46953 + ... + 51543.

It is an arithmetic number, because the mean of its divisors is an integer number (5834136).

Almost surely, 2226097568 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 226097568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350048160).

226097568 is an abundant number, since it is smaller than the sum of its proper divisors (473998752).

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

226097568 is a wasteful number, since it uses less digits than its factorization.

226097568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 226097568 is about 15036.5410916208. The cubic root of 226097568 is about 609.2075780534.

The spelling of 226097568 in words is "two hundred twenty-six million, ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 4591 5472 6156 8208 9182 12312 13773 16416 18364 24624 27546 36728 41319 49248 55092 73456 82638 87229 110184 123957 146912 165276 174458 220368 247914 261687 330552 348916 371871 440736 495828 523374 661104 697832 743742 785061 991656 1046748 1322208 1395664 1487484 1570122 1983312 2093496 2355183 2791328 2974968 3140244 3966624 4186992 4710366 5949936 6280488 7065549 8373984 9420732 11899872 12560976 14131098 18841464 25121952 28262196 37682928 56524392 75365856 113048784 226097568