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102222020032 = 2611653222361
BaseRepresentation
bin101111100110011101…
…0000011110111000000
3100202212000202122200221
41133030322003313000
53133322314120112
6114543220352424
710246104556006
oct1371472036700
9322760678627
10102222020032
113a3967356a0
1217989b45714
139840c80ab2
144d3a1d0a76
1529d4355e07
hex17cce83dc0

102222020032 has 56 divisors (see below), whose sum is σ = 221627315952. Its totient is φ = 46393190400.

The previous prime is 102222020011. The next prime is 102222020071. The reversal of 102222020032 is 230020222201.

It is a super-3 number, since 3×1022220200323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102222019988 and 102222020015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348532 + ... + 570892.

It is an arithmetic number, because the mean of its divisors is an integer number (3957630642).

Almost surely, 2102222020032 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 102222020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110813657976).

102222020032 is an abundant number, since it is smaller than the sum of its proper divisors (119405295920).

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

102222020032 is a wasteful number, since it uses less digits than its factorization.

102222020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223037 (or 223027 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 102222020032 its reverse (230020222201), we get a palindrome (332242242233).

The spelling of 102222020032 in words is "one hundred two billion, two hundred twenty-two million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 653 704 1306 2612 5224 7183 10448 14366 20896 28732 41792 57464 114928 222361 229856 444722 459712 889444 1778888 2445971 3557776 4891942 7115552 9783884 14231104 19567768 39135536 78271072 145201733 156542144 290403466 580806932 1161613864 1597219063 2323227728 3194438126 4646455456 6388876252 9292910912 12777752504 25555505008 51111010016 102222020032