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2252691 = 34729137
BaseRepresentation
bin1000100101111110010011
311020110010000
420211332103
51034041231
6120141043
725101420
oct10457623
94213100
102252691
1112a9531
12907783
1360b46c
14428d47
152e76e6
hex225f93

2252691 has 40 divisors (see below), whose sum is σ = 4007520. Its totient is φ = 1233792.

The previous prime is 2252683. The next prime is 2252693. The reversal of 2252691 is 1962522.

2252691 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2252691 - 23 = 2252683 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 26 + 211 + 58 + 220 + 67 + 96 + 1 .

2252691 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252693) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16375 + ... + 16511.

It is an arithmetic number, because the mean of its divisors is an integer number (100188).

22252691 is an apocalyptic number.

2252691 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2252691 is a deficient number, since it is larger than the sum of its proper divisors (1754829).

2252691 is a wasteful number, since it uses less digits than its factorization.

2252691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2252691 is about 1500.8967319573. The cubic root of 2252691 is about 131.0892890097.

It can be divided in two parts, 225 and 2691, that added together give a square (2916 = 542).

The spelling of 2252691 in words is "two million, two hundred fifty-two thousand, six hundred ninety-one".

Divisors: 1 3 7 9 21 27 29 63 81 87 137 189 203 261 411 567 609 783 959 1233 1827 2349 2877 3699 3973 5481 8631 11097 11919 16443 25893 27811 35757 77679 83433 107271 250299 321813 750897 2252691