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2272592 = 247103197
BaseRepresentation
bin1000101010110101010000
311021110102002
420222311100
51040210332
6120413132
725213430
oct10526520
94243362
102272592
111312483
129171a8
1361753a
144322c0
152ed562
hex22ad50

2272592 has 40 divisors (see below), whose sum is σ = 5106816. Its totient is φ = 959616.

The previous prime is 2272559. The next prime is 2272597. The reversal of 2272592 is 2952722.

Its product of digits (5040) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11438 + ... + 11634.

22272592 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 2272592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553408).

2272592 is an abundant number, since it is smaller than the sum of its proper divisors (2834224).

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

2272592 is a wasteful number, since it uses less digits than its factorization.

2272592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 2272592 is about 1507.5118573331. The cubic root of 2272592 is about 131.4741861651.

The spelling of 2272592 in words is "two million, two hundred seventy-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 197 206 394 412 721 788 824 1379 1442 1576 1648 2758 2884 3152 5516 5768 11032 11536 20291 22064 40582 81164 142037 162328 284074 324656 568148 1136296 2272592