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2190900 = 2235267109
BaseRepresentation
bin1000010110111000110100
311010022100110
420112320310
51030102100
6114543020
724423315
oct10267064
94108313
102190900
111267068
12897a70
135b92ba
1441060c
152d4250
hex216e34

2190900 has 72 divisors (see below), whose sum is σ = 6492640. Its totient is φ = 570240.

The previous prime is 2190887. The next prime is 2190901. The reversal of 2190900 is 90912.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20046 + ... + 20154.

22190900 is an apocalyptic number.

2190900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246320).

2190900 is an abundant number, since it is smaller than the sum of its proper divisors (4301740).

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

2190900 is a wasteful number, since it uses less digits than its factorization.

2190900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 2190900 is about 1480.1689092803. The cubic root of 2190900 is about 129.8795728935.

The spelling of 2190900 in words is "two million, one hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 109 134 150 201 218 268 300 327 335 402 436 545 654 670 804 1005 1090 1308 1340 1635 1675 2010 2180 2725 3270 3350 4020 5025 5450 6540 6700 7303 8175 10050 10900 14606 16350 20100 21909 29212 32700 36515 43818 73030 87636 109545 146060 182575 219090 365150 438180 547725 730300 1095450 2190900