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2249742 = 231189383
BaseRepresentation
bin1000100101010000001110
311020022001210
420211100032
51033442432
6120115250
725060005
oct10452016
94208053
102249742
1112a72a0
12905b26
1360a011
14427c3c
152e68cc
hex22540e

2249742 has 32 divisors (see below), whose sum is σ = 4976640. Its totient is φ = 672320.

The previous prime is 2249719. The next prime is 2249743. The reversal of 2249742 is 2479422.

It is a super-2 number, since 2×22497422 = 10122678133128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249743) 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, 5683 + ... + 6065.

It is an arithmetic number, because the mean of its divisors is an integer number (155520).

22249742 is an apocalyptic number.

2249742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488320).

2249742 is an abundant number, since it is smaller than the sum of its proper divisors (2726898).

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

2249742 is a wasteful number, since it uses less digits than its factorization.

2249742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488.

The product of its digits is 8064, while the sum is 30.

The square root of 2249742 is about 1499.9139975345. The cubic root of 2249742 is about 131.0320609910.

The spelling of 2249742 in words is "two million, two hundred forty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 383 534 766 979 1149 1958 2298 2937 4213 5874 8426 12639 25278 34087 68174 102261 204522 374957 749914 1124871 2249742