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22701 = 372347
BaseRepresentation
bin101100010101101
31011010210
411202231
51211301
6253033
7123120
oct54255
934123
1022701
1116068
1211179
13a443
1483b7
156ad6
hex58ad

22701 has 16 divisors (see below), whose sum is σ = 36864. Its totient is φ = 12144.

The previous prime is 22699. The next prime is 22709. The reversal of 22701 is 10722.

It is not a de Polignac number, because 22701 - 21 = 22699 is a prime.

It is a Curzon number.

22701 is a lucky number.

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (2304).

222701 is an apocalyptic number.

22701 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22701 is a deficient number, since it is larger than the sum of its proper divisors (14163).

22701 is a wasteful number, since it uses less digits than its factorization.

22701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 22701 is about 150.6685103132. The cubic root of 22701 is about 28.3148976572.

Multiplying 22701 by its product of nonzero digits (28), we get a triangular number (635628 = T1127).

The spelling of 22701 in words is "twenty-two thousand, seven hundred one", and thus it is an iban number.

Divisors: 1 3 7 21 23 47 69 141 161 329 483 987 1081 3243 7567 22701