Search a number
-
+
22636240 = 2451129887
BaseRepresentation
bin101011001011…
…0011011010000
31120121001002021
41112112123100
521243324430
62125101224
7363255604
oct126263320
946531067
1022636240
1111860a40
1276b7814
1348c7333
143013504
151ec207a
hex15966d0

22636240 has 80 divisors (see below), whose sum is σ = 59460480. Its totient is φ = 7938560.

The previous prime is 22636219. The next prime is 22636241. The reversal of 22636240 is 4263622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×226362402 = 1024798722675200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22636241) 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, 25077 + ... + 25963.

It is an arithmetic number, because the mean of its divisors is an integer number (743256).

Almost surely, 222636240 is an apocalyptic number.

22636240 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 22636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730240).

22636240 is an abundant number, since it is smaller than the sum of its proper divisors (36824240).

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

22636240 is a wasteful number, since it uses less digits than its factorization.

22636240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 22636240 is about 4757.7557734714. The cubic root of 22636240 is about 282.8794702059.

Adding to 22636240 its reverse (4263622), we get a palindrome (26899862).

The spelling of 22636240 in words is "twenty-two million, six hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 887 1160 1276 1595 1774 2320 2552 3190 3548 4435 5104 6380 7096 8870 9757 12760 14192 17740 19514 25520 25723 35480 39028 48785 51446 70960 78056 97570 102892 128615 156112 195140 205784 257230 282953 390280 411568 514460 565906 780560 1028920 1131812 1414765 2057840 2263624 2829530 4527248 5659060 11318120 22636240