Search a number
-
+
22697360 = 245740531
BaseRepresentation
bin101011010010…
…1010110010000
31120201010220222
41112211112100
521302303420
62130252212
7363632030
oct126452620
946633828
1022697360
11118a2954
127727068
1349190ba
14302b8c0
151ed5225
hex15a5590

22697360 has 40 divisors (see below), whose sum is σ = 60311616. Its totient is φ = 7781760.

The previous prime is 22697327. The next prime is 22697369. The reversal of 22697360 is 6379622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 22697360.

It is not an unprimeable number, because it can be changed into a prime (22697369) 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 7 ways as a sum of consecutive naturals, for example, 19706 + ... + 20825.

Almost surely, 222697360 is an apocalyptic number.

22697360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22697360 is an abundant number, since it is smaller than the sum of its proper divisors (37614256).

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

22697360 is a wasteful number, since it uses less digits than its factorization.

22697360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40551 (or 40545 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 22697360 is about 4764.1746399560. The cubic root of 22697360 is about 283.1338418880.

The spelling of 22697360 in words is "twenty-two million, six hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 40531 81062 162124 202655 283717 324248 405310 567434 648496 810620 1134868 1418585 1621240 2269736 2837170 3242480 4539472 5674340 11348680 22697360