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2250700 = 225271317
BaseRepresentation
bin1000100101011111001100
311020100101021
420211133030
51034010300
6120123524
725062544
oct10453714
94210337
102250700
1112a7a91
129065a4
1360a59a
14428324
152e6d1a
hex2257cc

2250700 has 36 divisors (see below), whose sum is σ = 4968432. Its totient is φ = 884800.

The previous prime is 2250679. The next prime is 2250709. The reversal of 2250700 is 70522.

It is a happy number.

2250700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2250709) by changing a digit.

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, 6942 + ... + 7258.

It is an arithmetic number, because the mean of its divisors is an integer number (138012).

22250700 is an apocalyptic number.

2250700 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 2250700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484216).

2250700 is an abundant number, since it is smaller than the sum of its proper divisors (2717732).

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

2250700 is a wasteful number, since it uses less digits than its factorization.

2250700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 2250700 is about 1500.2333151880. The cubic root of 2250700 is about 131.0506573309.

The spelling of 2250700 in words is "two million, two hundred fifty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 317 355 634 710 1268 1420 1585 1775 3170 3550 6340 7100 7925 15850 22507 31700 45014 90028 112535 225070 450140 562675 1125350 2250700