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2293164 = 2233171249
BaseRepresentation
bin1000101111110110101100
311022111122000
420233312230
51041340124
6121052300
725330416
oct10576654
94274560
102293164
111326985
12927090
13623a03
144399b6
153046c9
hex22fdac

2293164 has 48 divisors (see below), whose sum is σ = 6300000. Its totient is φ = 718848.

The previous prime is 2293157. The next prime is 2293183. The reversal of 2293164 is 4613922.

It is a super-2 number, since 2×22931642 = 10517202261792, which contains 22 as substring.

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

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1212 + ... + 2460.

It is an arithmetic number, because the mean of its divisors is an integer number (131250).

22293164 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 2293164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150000).

2293164 is an abundant number, since it is smaller than the sum of its proper divisors (4006836).

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

2293164 is a wasteful number, since it uses less digits than its factorization.

2293164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1271 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2293164 is about 1514.3196492154. The cubic root of 2293164 is about 131.8697061433.

The spelling of 2293164 in words is "two million, two hundred ninety-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1249 1836 2498 3747 4996 7494 11241 14988 21233 22482 33723 42466 44964 63699 67446 84932 127398 134892 191097 254796 382194 573291 764388 1146582 2293164