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2250916380 = 2232512505091
BaseRepresentation
bin1000011000101010…
…0100001000011100
312210212111101210100
42012022210020130
514102213311010
61011204541100
7106531321266
oct20612441034
95725441710
102250916380
11a55646879
125299b1790
1329b44abab
14174d32b36
15d29282c0
hex862a421c

2250916380 has 36 divisors (see below), whose sum is σ = 6827780232. Its totient is φ = 600244320.

The previous prime is 2250916373. The next prime is 2250916391. The reversal of 2250916380 is 836190522.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6252366 + ... + 6252725.

It is an arithmetic number, because the mean of its divisors is an integer number (189660562).

Almost surely, 22250916380 is an apocalyptic number.

2250916380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250916380 is an abundant number, since it is smaller than the sum of its proper divisors (4576863852).

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

2250916380 is a wasteful number, since it uses less digits than its factorization.

2250916380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505106 (or 12505101 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2250916380 is about 47443.8234125371. The cubic root of 2250916380 is about 1310.5485688846.

The spelling of 2250916380 in words is "two billion, two hundred fifty million, nine hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12505091 25010182 37515273 50020364 62525455 75030546 112545819 125050910 150061092 187576365 225091638 250101820 375152730 450183276 562729095 750305460 1125458190 2250916380