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2249632 = 25711283
BaseRepresentation
bin1000100101001110100000
311020021220201
420211032200
51033442012
6120114544
725056460
oct10451640
94207821
102249632
1112a7200
12905a54
13609c58
14427ba0
152e6857
hex2253a0

2249632 has 72 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 865920.

The previous prime is 2249609. The next prime is 2249633. The reversal of 2249632 is 2369422.

2249632 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2249632.

It is not an unprimeable number, because it can be changed into a prime (2249633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27063 + ... + 27145.

It is an arithmetic number, because the mean of its divisors is an integer number (78204).

22249632 is an apocalyptic number.

2249632 is a gapful number since it is divisible by the number (22) 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 2249632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344).

2249632 is an abundant number, since it is smaller than the sum of its proper divisors (3381056).

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

2249632 is a wasteful number, since it uses less digits than its factorization.

2249632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 2249632 is about 1499.8773283172. The cubic root of 2249632 is about 131.0299253740.

The spelling of 2249632 in words is "two million, two hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 83 88 112 121 154 166 176 224 242 308 332 352 484 581 616 664 847 913 968 1162 1232 1328 1694 1826 1936 2324 2464 2656 3388 3652 3872 4648 6391 6776 7304 9296 10043 12782 13552 14608 18592 20086 25564 27104 29216 40172 51128 70301 80344 102256 140602 160688 204512 281204 321376 562408 1124816 2249632