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226666692 = 223278310837
BaseRepresentation
bin11011000001010…
…10100011000100
3120210111212020200
431200222203010
5431011313232
634254130500
75421430560
oct1540524304
9523455220
10226666692
11106a4704a
1263ab0a30
1337c63005
14221646a0
1514d7577c
hexd82a8c4

226666692 has 72 divisors (see below), whose sum is σ = 662765376. Its totient is φ = 63975744.

The previous prime is 226666669. The next prime is 226666703. The reversal of 226666692 is 296666622.

226666692 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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, 15498 + ... + 26334.

Almost surely, 2226666692 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 226666692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331382688).

226666692 is an abundant number, since it is smaller than the sum of its proper divisors (436098684).

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

226666692 is a wasteful number, since it uses less digits than its factorization.

226666692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10937 (or 10932 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 226666692 is about 15055.4538955157. The cubic root of 226666692 is about 609.7183076330.

The spelling of 226666692 in words is "two hundred twenty-six million, six hundred sixty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 83 84 126 166 249 252 332 498 581 747 996 1162 1494 1743 2324 2988 3486 5229 6972 10458 10837 20916 21674 32511 43348 65022 75859 97533 130044 151718 195066 227577 303436 390132 455154 682731 899471 910308 1365462 1798942 2698413 2730924 3597884 5396826 6296297 8095239 10793652 12592594 16190478 18888891 25185188 32380956 37777782 56666673 75555564 113333346 226666692