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2261625 = 35337163
BaseRepresentation
bin1000101000001001111001
311020220100220
420220021321
51034333000
6120250253
725136442
oct10501171
94226326
102261625
111305213
12910989
13612552
1442c2c9
152ea1a0
hex228279

2261625 has 32 divisors (see below), whose sum is σ = 3888768. Its totient is φ = 1166400.

The previous prime is 2261621. The next prime is 2261639. The reversal of 2261625 is 5261622.

It is not a de Polignac number, because 2261625 - 22 = 2261621 is a prime.

It is a super-2 number, since 2×22616252 = 10229895281250, which contains 22 as substring.

It is an Ulam number.

2261625 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2261595 and 2261604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13794 + ... + 13956.

It is an arithmetic number, because the mean of its divisors is an integer number (121524).

22261625 is an apocalyptic number.

2261625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2261625 is a deficient number, since it is larger than the sum of its proper divisors (1627143).

2261625 is a wasteful number, since it uses less digits than its factorization.

2261625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2261625 is about 1503.8700076802. The cubic root of 2261625 is about 131.2623571132.

The spelling of 2261625 in words is "two million, two hundred sixty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 37 75 111 125 163 185 375 489 555 815 925 2445 2775 4075 4625 6031 12225 13875 18093 20375 30155 61125 90465 150775 452325 753875 2261625