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2315300 = 2252132137
BaseRepresentation
bin1000110101010000100100
311100121222212
420311100210
51043042200
6121342552
725452101
oct10652044
94317885
102315300
111341579
12937a58
13630b00
14443aa8
1530b035
hex235424

2315300 has 54 divisors (see below), whose sum is σ = 5480118. Its totient is φ = 848640.

The previous prime is 2315263. The next prime is 2315317. The reversal of 2315300 is 35132.

It can be written as a sum of positive squares in 9 ways, for example, as 1378276 + 937024 = 1174^2 + 968^2 .

It is a super-2 number, since 2×23153002 = 10721228180000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16832 + ... + 16968.

22315300 is an apocalyptic number.

2315300 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 2315300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740059).

2315300 is an abundant number, since it is smaller than the sum of its proper divisors (3164818).

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

2315300 is a wasteful number, since it uses less digits than its factorization.

2315300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 2315300 is about 1521.6109883936. The cubic root of 2315300 is about 132.2926625534.

The spelling of 2315300 in words is "two million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 137 169 260 274 325 338 548 650 676 685 845 1300 1370 1690 1781 2740 3380 3425 3562 4225 6850 7124 8450 8905 13700 16900 17810 23153 35620 44525 46306 89050 92612 115765 178100 231530 463060 578825 1157650 2315300