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1416804228 = 2232727571061
BaseRepresentation
bin101010001110010…
…1011011110000100
310122201222010000200
41110130223132010
510400200213403
6352331010500
750052431400
oct12434533604
93581863020
101416804228
11667826a94
12336599a30
131976b33c8
14d6248100
15845b3ca3
hex5472b784

1416804228 has 108 divisors (see below), whose sum is σ = 4175514252. Its totient is φ = 403885440.

The previous prime is 1416804199. The next prime is 1416804247. The reversal of 1416804228 is 8224086141.

It can be written as a sum of positive squares in 2 ways, for example, as 904325184 + 512479044 = 30072^2 + 22638^2 .

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 = 1416804192 and 1416804201.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1334818 + ... + 1335878.

It is an arithmetic number, because the mean of its divisors is an integer number (38662169).

Almost surely, 21416804228 is an apocalyptic number.

1416804228 is a gapful number since it is divisible by the number (18) 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 1416804228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087757126).

1416804228 is an abundant number, since it is smaller than the sum of its proper divisors (2758710024).

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

1416804228 is a wasteful number, since it uses less digits than its factorization.

1416804228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1416804228 is about 37640.4599865623. The cubic root of 1416804228 is about 1123.1470344329.

The spelling of 1416804228 in words is "one billion, four hundred sixteen million, eight hundred four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 757 882 1061 1514 1764 2122 2271 3028 3183 4244 4542 5299 6366 6813 7427 9084 9549 10598 12732 13626 14854 15897 19098 21196 22281 27252 29708 31794 37093 38196 44562 47691 51989 63588 66843 74186 89124 95382 103978 111279 133686 148372 155967 190764 207956 222558 267372 311934 333837 445116 467901 623868 667674 803177 935802 1335348 1606354 1871604 2409531 3212708 4819062 5622239 7228593 9638124 11244478 14457186 16866717 22488956 28914372 33733434 39355673 50600151 67466868 78711346 101200302 118067019 157422692 202400604 236134038 354201057 472268076 708402114 1416804228