Search a number
-
+
22561203551112 = 233219127251517367
BaseRepresentation
bin1010010000100111100001…
…00001011111101110001000
32221212211102001210121100200
411020103300201133232020
510424120321102113422
6115552250202532200
74515664441012362
oct510236041375610
987784361717320
1022561203551112
117209175265116
122644619507060
13c7868788b975
1457dd7a599d32
15291d06bd72ac
hex1484f085fb88

22561203551112 has 192 divisors, whose sum is σ = 65084066611200. Its totient is φ = 7040316528000.

The previous prime is 22561203551077. The next prime is 22561203551149. The reversal of 22561203551112 is 21115530216522.

22561203551112 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 120 + 3 + 5 + 511 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43349053 + ... + 43866419.

It is an arithmetic number, because the mean of its divisors is an integer number (338979513600).

Almost surely, 222561203551112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22561203551112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32542033305600).

22561203551112 is an abundant number, since it is smaller than the sum of its proper divisors (42522863060088).

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

22561203551112 is a wasteful number, since it uses less digits than its factorization.

22561203551112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517776 (or 517769 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 22561203551112 its reverse (21115530216522), we get a palindrome (43676733767634).

The spelling of 22561203551112 in words is "twenty-two trillion, five hundred sixty-one billion, two hundred three million, five hundred fifty-one thousand, one hundred twelve".