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2302272 = 26327571
BaseRepresentation
bin1000110010000101000000
311022222010100
420302011000
51042133042
6121202400
725366110
oct10620500
94288110
102302272
111332805
12930400
13627bbb
1443d040
1530724c
hex232140

2302272 has 84 divisors (see below), whose sum is σ = 7554976. Its totient is φ = 656640.

The previous prime is 2302253. The next prime is 2302283. The reversal of 2302272 is 2722032.

2302272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3747 + ... + 4317.

22302272 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 2302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777488).

2302272 is an abundant number, since it is smaller than the sum of its proper divisors (5252704).

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

2302272 is a wasteful number, since it uses less digits than its factorization.

2302272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2302272 is about 1517.3239601351. The cubic root of 2302272 is about 132.0440624250.

The spelling of 2302272 in words is "two million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 571 576 672 1008 1142 1344 1713 2016 2284 3426 3997 4032 4568 5139 6852 7994 9136 10278 11991 13704 15988 18272 20556 23982 27408 31976 35973 36544 41112 47964 54816 63952 71946 82224 95928 109632 127904 143892 164448 191856 255808 287784 328896 383712 575568 767424 1151136 2302272