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22033443102 = 231110122714561
BaseRepresentation
bin10100100001010010…
…111010100100011110
32002212112210212210020
4110201102322210132
5330111030134402
614042205053010
71410003114306
oct244122724436
962775725706
1022033443102
119387338a10
12432ab57166
132101a611c8
1410d03a8606
1588e5378bc
hex5214ba91e

22033443102 has 64 divisors (see below), whose sum is σ = 48766157568. Its totient is φ = 6581120000.

The previous prime is 22033443083. The next prime is 22033443109. The reversal of 22033443102 is 20134433022.

It is a super-2 number, since 2×220334431022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22033443109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505902 + ... + 1520462.

It is an arithmetic number, because the mean of its divisors is an integer number (761971212).

Almost surely, 222033443102 is an apocalyptic number.

22033443102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22033443102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24383078784).

22033443102 is an abundant number, since it is smaller than the sum of its proper divisors (26732714466).

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

22033443102 is a wasteful number, since it uses less digits than its factorization.

22033443102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14905.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22033443102 its reverse (20134433022), we get a palindrome (42167876124).

The spelling of 22033443102 in words is "twenty-two billion, thirty-three million, four hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 227 303 454 606 681 1111 1362 2222 2497 3333 4994 6666 7491 14561 14982 22927 29122 43683 45854 68781 87366 137562 160171 252197 320342 480513 504394 756591 961026 1470661 1513182 2941322 3305347 4411983 6610694 8823966 9916041 16177271 19832082 32354542 36358817 48531813 72717634 97063626 109076451 218152902 333840047 667680094 1001520141 2003040282 3672240517 7344481034 11016721551 22033443102