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2293928 = 2371323137
BaseRepresentation
bin1000110000000010101000
311022112200022
420300002220
51041401203
6121100012
725332560
oct10600250
94275608
102293928
11132750a
12927608
13624170
14439da0
15304a38
hex2300a8

2293928 has 64 divisors (see below), whose sum is σ = 5564160. Its totient is φ = 861696.

The previous prime is 2293919. The next prime is 2293937. The reversal of 2293928 is 8293922.

2293928 = T407 + T408 + ... + T432.

It is an interprime number because it is at equal distance from previous prime (2293919) and next prime (2293937).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16676 + ... + 16812.

It is an arithmetic number, because the mean of its divisors is an integer number (86940).

22293928 is an apocalyptic number.

2293928 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 2293928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080).

2293928 is an abundant number, since it is smaller than the sum of its proper divisors (3270232).

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

2293928 is a wasteful number, since it uses less digits than its factorization.

2293928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 182 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 2293928 is about 1514.5718867059. The cubic root of 2293928 is about 131.8843492694.

The spelling of 2293928 in words is "two million, two hundred ninety-three thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 137 161 182 184 274 299 322 364 548 598 644 728 959 1096 1196 1288 1781 1918 2093 2392 3151 3562 3836 4186 6302 7124 7672 8372 12467 12604 14248 16744 22057 24934 25208 40963 44114 49868 81926 88228 99736 163852 176456 286741 327704 573482 1146964 2293928