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440646228 = 2232117691447
BaseRepresentation
bin11010010000111…
…011101001010100
31010201011010222200
4122100323221110
51400301134403
6111420324500
713630300611
oct3220735124
91121133880
10440646228
11206808040
121036a3730
13703a3319
1442745508
1528a41ca3
hex1a43ba54

440646228 has 72 divisors (see below), whose sum is σ = 1217536320. Its totient is φ = 133263360.

The previous prime is 440646221. The next prime is 440646247. The reversal of 440646228 is 822646044.

It is a happy number.

440646228 is a `hidden beast` number, since 4 + 4 + 0 + 646 + 2 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 440646192 and 440646201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440646221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303801 + ... + 305247.

Almost surely, 2440646228 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 440646228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608768160).

440646228 is an abundant number, since it is smaller than the sum of its proper divisors (776890092).

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

440646228 is a wasteful number, since it uses less digits than its factorization.

440646228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 440646228 is about 20991.5751671951. The cubic root of 440646228 is about 760.9626697579.

The spelling of 440646228 in words is "four hundred forty million, six hundred forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 769 1447 1538 2307 2894 3076 4341 4614 5788 6921 8459 8682 9228 13023 13842 15917 16918 17364 25377 26046 27684 31834 33836 47751 50754 52092 63668 76131 95502 101508 143253 152262 191004 286506 304524 573012 1112743 2225486 3338229 4450972 6676458 10014687 12240173 13352916 20029374 24480346 36720519 40058748 48960692 73441038 110161557 146882076 220323114 440646228