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22556240 = 245747857
BaseRepresentation
bin101011000001…
…0111001010000
31120102222100022
41112002321100
521233244430
62123243012
7362503430
oct126027120
946388308
1022556240
1111806923
127679468
134899ab5
142dd22c0
151ea84e5
hex1582e50

22556240 has 80 divisors (see below), whose sum is σ = 61281792. Its totient is φ = 7560192.

The previous prime is 22556239. The next prime is 22556257. The reversal of 22556240 is 4265522.

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

It is a super-4 number, since 4×225562404 (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25892 + ... + 26748.

Almost surely, 222556240 is an apocalyptic number.

22556240 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 22556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30640896).

22556240 is an abundant number, since it is smaller than the sum of its proper divisors (38725552).

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

22556240 is a wasteful number, since it uses less digits than its factorization.

22556240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 22556240 is about 4749.3410069187. The cubic root of 22556240 is about 282.5458301399.

It can be divided in two parts, 225 and 56240, that added together give a palindrome (56465).

The spelling of 22556240 in words is "twenty-two million, five hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 857 940 1316 1645 1714 1880 2632 3290 3428 3760 4285 5264 5999 6580 6856 8570 11998 13160 13712 17140 23996 26320 29995 34280 40279 47992 59990 68560 80558 95984 119980 161116 201395 239960 281953 322232 402790 479920 563906 644464 805580 1127812 1409765 1611160 2255624 2819530 3222320 4511248 5639060 11278120 22556240