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2293137 = 337111103
BaseRepresentation
bin1000101111110110010001
311022111121000
420233312101
51041340022
6121052213
725330350
oct10576621
94274530
102293137
111326960
12927069
136239b2
14439997
153046ac
hex22fd91

2293137 has 32 divisors (see below), whose sum is σ = 4239360. Its totient is φ = 1190160.

The previous prime is 2293127. The next prime is 2293139. The reversal of 2293137 is 7313922.

It is not a de Polignac number, because 2293137 - 24 = 2293121 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2293137.

It is not an unprimeable number, because it can be changed into a prime (2293139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528 + ... + 2630.

It is an arithmetic number, because the mean of its divisors is an integer number (132480).

22293137 is an apocalyptic number.

2293137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2293137 is a deficient number, since it is larger than the sum of its proper divisors (1946223).

2293137 is a wasteful number, since it uses less digits than its factorization.

2293137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 2293137 is about 1514.3107342946. The cubic root of 2293137 is about 131.8691885911.

The spelling of 2293137 in words is "two million, two hundred ninety-three thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 1103 2079 3309 7721 9927 12133 23163 29781 36399 69489 84931 109197 208467 254793 327591 764379 2293137