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2248232 = 237192113
BaseRepresentation
bin1000100100111000101000
311020012222212
420210320220
51033420412
6120104252
725052420
oct10447050
94205885
102248232
1112a6148
12905088
1360941c
14427480
152e6222
hex224e28

2248232 has 32 divisors (see below), whose sum is σ = 5073600. Its totient is φ = 912384.

The previous prime is 2248223. The next prime is 2248237. The reversal of 2248232 is 2328422.

2248232 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2248198 and 2248207.

It is not an unprimeable number, because it can be changed into a prime (2248237) 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, 8 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (158550).

22248232 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 2248232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536800).

2248232 is an abundant number, since it is smaller than the sum of its proper divisors (2825368).

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

2248232 is a wasteful number, since it uses less digits than its factorization.

2248232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2141 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 2248232 is about 1499.4105508499. The cubic root of 2248232 is about 131.0027387109.

The spelling of 2248232 in words is "two million, two hundred forty-eight thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 2113 4226 8452 14791 16904 29582 40147 59164 80294 118328 160588 281029 321176 562058 1124116 2248232