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2190240100 = 225229537417
BaseRepresentation
bin1000001010001100…
…0110100101100100
312122122022201120201
42002203012211210
513441200140400
61001200240244
7105163506436
oct20243064544
95578281521
102190240100
11a24373894
12511610084
1328b9c5179
1416ac5a656
15cc44006a
hex828c6964

2190240100 has 36 divisors (see below), whose sum is σ = 4755071524. Its totient is φ = 875681280.

The previous prime is 2190240079. The next prime is 2190240103. The reversal of 2190240100 is 10420912.

It can be written as a sum of positive squares in 6 ways, for example, as 85082176 + 2105157924 = 9224^2 + 45882^2 .

It is not an unprimeable number, because it can be changed into a prime (2190240103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291592 + ... + 299008.

Almost surely, 22190240100 is an apocalyptic number.

2190240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190240100 is an abundant number, since it is smaller than the sum of its proper divisors (2564831424).

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

2190240100 is a wasteful number, since it uses less digits than its factorization.

2190240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10384 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2190240100 is about 46800.0010683761. The cubic root of 2190240100 is about 1298.6653165673.

The spelling of 2190240100 in words is "two billion, one hundred ninety million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2953 5906 7417 11812 14765 14834 29530 29668 37085 59060 73825 74170 147650 148340 185425 295300 370850 741700 21902401 43804802 87609604 109512005 219024010 438048020 547560025 1095120050 2190240100