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22000056 = 23313107659
BaseRepresentation
bin101001111101…
…1000110111000
31112101201101220
41103323012320
521113000211
62103312040
7354666051
oct123730670
945351356
1022000056
1111466a71
12744b620
1347338b0
142cc9728
151de8806
hex14fb1b8

22000056 has 64 divisors (see below), whose sum is σ = 59875200. Its totient is φ = 6695808.

The previous prime is 22000037. The next prime is 22000061. The reversal of 22000056 is 65000022.

It is a junction number, because it is equal to n+sod(n) for n = 21999999 and 22000044.

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, 33055 + ... + 33713.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 222000056 is an apocalyptic number.

22000056 is a gapful number since it is divisible by the number (26) 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 22000056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600).

22000056 is an abundant number, since it is smaller than the sum of its proper divisors (37875144).

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

22000056 is a wasteful number, since it uses less digits than its factorization.

22000056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22000056 is about 4690.4217294397. The cubic root of 22000056 is about 280.2041708141.

Adding to 22000056 its reverse (65000022), we get a palindrome (87000078).

The spelling of 22000056 in words is "twenty-two million, fifty-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 659 856 1284 1318 1391 1977 2568 2636 2782 3954 4173 5272 5564 7908 8346 8567 11128 15816 16692 17134 25701 33384 34268 51402 68536 70513 102804 141026 205608 211539 282052 423078 564104 846156 916669 1692312 1833338 2750007 3666676 5500014 7333352 11000028 22000056