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2190012625 = 53157111593
BaseRepresentation
bin1000001010001000…
…1111000011010001
312122121220011112201
42002202033003101
513441120401000
61001151323201
7105161541313
oct20242170321
95577804481
102190012625
11a24228999
12511520501
1328b945778
1416abdb7b3
15cc3e796a
hex8288f0d1

2190012625 has 16 divisors (see below), whose sum is σ = 2750568912. Its totient is φ = 1740835200.

The previous prime is 2190012623. The next prime is 2190012673. The reversal of 2190012625 is 5262100912.

It can be written as a sum of positive squares in 8 ways, for example, as 381381841 + 1808630784 = 19529^2 + 42528^2 .

It is not a de Polignac number, because 2190012625 - 21 = 2190012623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2190012593 and 2190012602.

It is not an unprimeable number, because it can be changed into a prime (2190012623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36172 + ... + 75421.

It is an arithmetic number, because the mean of its divisors is an integer number (171910557).

Almost surely, 22190012625 is an apocalyptic number.

2190012625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2190012625 is a deficient number, since it is larger than the sum of its proper divisors (560556287).

2190012625 is a wasteful number, since it uses less digits than its factorization.

2190012625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111765 (or 111755 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 2190012625 is about 46797.5707168652. The cubic root of 2190012625 is about 1298.6203558770.

The spelling of 2190012625 in words is "two billion, one hundred ninety million, twelve thousand, six hundred twenty-five".

Divisors: 1 5 25 125 157 785 3925 19625 111593 557965 2789825 13949125 17520101 87600505 438002525 2190012625