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2190825 = 3252713107
BaseRepresentation
bin1000010110110111101001
311010022020200
420112313221
51030101300
6114542413
724423150
oct10266751
94108220
102190825
111266aaa
12897a09
135b9260
14410597
152d4200
hex216de9

2190825 has 72 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 915840.

The previous prime is 2190823. The next prime is 2190829. The reversal of 2190825 is 5280912.

2190825 = 163 + 173 + ... + 543.

It is not a de Polignac number, because 2190825 - 21 = 2190823 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2190821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20422 + ... + 20528.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

22190825 is an apocalyptic number.

2190825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2190825 is an abundant number, since it is smaller than the sum of its proper divisors (2683863).

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

2190825 is a wasteful number, since it uses less digits than its factorization.

2190825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2190825 is about 1480.1435741171. The cubic root of 2190825 is about 129.8780908421.

The spelling of 2190825 in words is "two million, one hundred ninety thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 63 65 75 91 105 107 117 175 195 225 273 315 321 325 455 525 535 585 749 819 963 975 1365 1391 1575 1605 2247 2275 2675 2925 3745 4095 4173 4815 6741 6825 6955 8025 9737 11235 12519 18725 20475 20865 24075 29211 33705 34775 48685 56175 62595 87633 104325 146055 168525 243425 312975 438165 730275 2190825