Search a number
-
+
112251780 = 22325623621
BaseRepresentation
bin1101011000011…
…01001110000100
321211012222111100
412230031032010
5212214024110
615045540100
72532060444
oct654151604
9254188440
10112251780
11583aa473
1231714630
131a343294
1410ca0124
159cc4bc0
hex6b0d384

112251780 has 36 divisors (see below), whose sum is σ = 340497612. Its totient is φ = 29933760.

The previous prime is 112251767. The next prime is 112251793. The reversal of 112251780 is 87152211.

It is an interprime number because it is at equal distance from previous prime (112251767) and next prime (112251793).

It can be written as a sum of positive squares in 2 ways, for example, as 79281216 + 32970564 = 8904^2 + 5742^2 .

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

It is a super-2 number, since 2×1122517802 = 25200924226336800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311631 + ... + 311990.

It is an arithmetic number, because the mean of its divisors is an integer number (9458267).

Almost surely, 2112251780 is an apocalyptic number.

112251780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112251780 is an abundant number, since it is smaller than the sum of its proper divisors (228245832).

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

112251780 is a wasteful number, since it uses less digits than its factorization.

112251780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623636 (or 623631 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 112251780 is about 10594.8940532692. The cubic root of 112251780 is about 482.3893882305.

The spelling of 112251780 in words is "one hundred twelve million, two hundred fifty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 623621 1247242 1870863 2494484 3118105 3741726 5612589 6236210 7483452 9354315 11225178 12472420 18708630 22450356 28062945 37417260 56125890 112251780