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2265432 = 2331353137
BaseRepresentation
bin1000101001000101011000
311021002120220
420221011120
51034443212
6120320040
725153521
oct10510530
94232526
102265432
111308064
12913020
136141c0
1442d848
152eb38c
hex229158

2265432 has 64 divisors (see below), whose sum is σ = 6259680. Its totient is φ = 678912.

The previous prime is 2265421. The next prime is 2265433. The reversal of 2265432 is 2345622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 215 + 217 + 63 + 53 + 46 + 3 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16468 + ... + 16604.

22265432 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 2265432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129840).

2265432 is an abundant number, since it is smaller than the sum of its proper divisors (3994248).

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

2265432 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 2265432 = (4232526)9.

2265432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 2265432 is about 1505.1352098732. The cubic root of 2265432 is about 131.3359672629.

The spelling of 2265432 in words is "two million, two hundred sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 137 156 159 212 274 312 318 411 424 548 636 689 822 1096 1272 1378 1644 1781 2067 2756 3288 3562 4134 5343 5512 7124 7261 8268 10686 14248 14522 16536 21372 21783 29044 42744 43566 58088 87132 94393 174264 188786 283179 377572 566358 755144 1132716 2265432