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2190042900 = 223352811127
BaseRepresentation
bin1000001010001001…
…0110011100010100
312122121221201002000
42002202112130110
513441122333100
61001152115300
7105162025503
oct20242263424
95577851060
102190042900
11a24249711
12511535b30
1328b956496
1416ac0883a
15cc401900
hex82896714

2190042900 has 72 divisors (see below), whose sum is σ = 7040591040. Its totient is φ = 584010720.

The previous prime is 2190042887. The next prime is 2190042917. The reversal of 2190042900 is 92400912.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402864 + ... + 408263.

Almost surely, 22190042900 is an apocalyptic number.

2190042900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190042900 is an abundant number, since it is smaller than the sum of its proper divisors (4850548140).

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

2190042900 is a wasteful number, since it uses less digits than its factorization.

2190042900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811150 (or 811137 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2190042900 is about 46797.8941833925. The cubic root of 2190042900 is about 1298.6263399445.

The spelling of 2190042900 in words is "two billion, one hundred ninety million, forty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 811127 1622254 2433381 3244508 4055635 4866762 7300143 8111270 9733524 12166905 14600286 16222540 20278175 21900429 24333810 29200572 36500715 40556350 43800858 48667620 60834525 73001430 81112700 87601716 109502145 121669050 146002860 182503575 219004290 243338100 365007150 438008580 547510725 730014300 1095021450 2190042900