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22142380 = 2251326551
BaseRepresentation
bin101010001110…
…1110110101100
31112122221122011
41110131312230
521132024010
62110331004
7356131021
oct124356654
945587564
1022142380
1111553997
1274b9a64
134783600
142d25548
151e25a8a
hex151ddac

22142380 has 36 divisors (see below), whose sum is σ = 50358672. Its totient is φ = 8174400.

The previous prime is 22142359. The next prime is 22142383. The reversal of 22142380 is 8324122.

It is not an unprimeable number, because it can be changed into a prime (22142383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 6655.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 222142380 is an apocalyptic number.

22142380 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 22142380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25179336).

22142380 is an abundant number, since it is smaller than the sum of its proper divisors (28216292).

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

22142380 is a wasteful number, since it uses less digits than its factorization.

22142380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586 (or 6571 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 22142380 is about 4705.5690410406. The cubic root of 22142380 is about 280.8071100166.

It can be divided in two parts, 22142 and 380, that added together give a palindrome (22522).

The spelling of 22142380 in words is "twenty-two million, one hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 6551 13102 26204 32755 65510 85163 131020 170326 340652 425815 851630 1107119 1703260 2214238 4428476 5535595 11071190 22142380