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2164428 = 223372409
BaseRepresentation
bin1000010000011011001100
311001222001000
420100123030
51023230203
6114220300
724253200
oct10203314
94058030
102164428
111249192
12884690
135aa236
14404b00
152cb4a3
hex2106cc

2164428 has 72 divisors (see below), whose sum is σ = 6543600. Its totient is φ = 616896.

The previous prime is 2164417. The next prime is 2164429. The reversal of 2164428 is 8244612.

2164428 is a `hidden beast` number, since 216 + 442 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2164429) 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, 5088 + ... + 5496.

22164428 is an apocalyptic number.

2164428 is a gapful number since it is divisible by the number (28) 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 2164428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271800).

2164428 is an abundant number, since it is smaller than the sum of its proper divisors (4379172).

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

2164428 is a wasteful number, since it uses less digits than its factorization.

2164428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2164428 is about 1471.1995106035. The cubic root of 2164428 is about 129.3543529328.

The spelling of 2164428 in words is "two million, one hundred sixty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 409 441 588 756 818 882 1227 1323 1636 1764 2454 2646 2863 3681 4908 5292 5726 7362 8589 11043 11452 14724 17178 20041 22086 25767 34356 40082 44172 51534 60123 77301 80164 103068 120246 154602 180369 240492 309204 360738 541107 721476 1082214 2164428