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2264625 = 33531161
BaseRepresentation
bin1000101000111000110001
311021001111000
420220320301
51034432000
6120312213
725151256
oct10507061
94231430
102264625
1113074a0
12912669
13613a1c
1442d42d
152eb000
hex228e31

2264625 has 64 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 1080000.

The previous prime is 2264623. The next prime is 2264627. The reversal of 2264625 is 5264622.

It is an interprime number because it is at equal distance from previous prime (2264623) and next prime (2264627).

It is not a de Polignac number, because 2264625 - 21 = 2264623 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 215 + 217 + 62 + 44 + 63 + 221 + 55 .

Its product of digits (5760) is a multiple of the sum of its prime divisors (80).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2264623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37095 + ... + 37155.

It is an arithmetic number, because the mean of its divisors is an integer number (72540).

22264625 is an apocalyptic number.

2264625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2264625 is an abundant number, since it is smaller than the sum of its proper divisors (2377935).

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

2264625 is a wasteful number, since it uses less digits than its factorization.

2264625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 80 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2264625 is about 1504.8671037670. The cubic root of 2264625 is about 131.3203704270.

It can be divided in two parts, 226 and 4625, that added together give a triangular number (4851 = T98).

The spelling of 2264625 in words is "two million, two hundred sixty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 61 75 99 125 135 165 183 225 275 297 305 375 495 549 671 675 825 915 1125 1375 1485 1525 1647 2013 2475 2745 3355 3375 4125 4575 6039 7425 7625 8235 10065 12375 13725 16775 18117 22875 30195 37125 41175 50325 68625 83875 90585 150975 205875 251625 452925 754875 2264625