Search a number
-
+
32204254124 = 2272718532713
BaseRepresentation
bin11101111111100001…
…011110101110101100
310002010100222121120202
4131333201132232230
51011423242112444
622443332533032
72220023433500
oct357741365654
9102110877522
1032204254124
1112726509859
1262a9181178
133062c55b93
1417b70b2300
15c873d634e
hex77f85ebac

32204254124 has 72 divisors (see below), whose sum is σ = 66584494368. Its totient is φ = 13586469120.

The previous prime is 32204254123. The next prime is 32204254127. The reversal of 32204254124 is 42145240223.

It is a super-2 number, since 2×322042541242 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32204254123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11868992 + ... + 11871704.

It is an arithmetic number, because the mean of its divisors is an integer number (924784644).

Almost surely, 232204254124 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 32204254124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33292247184).

32204254124 is an abundant number, since it is smaller than the sum of its proper divisors (34380240244).

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

32204254124 is a wasteful number, since it uses less digits than its factorization.

32204254124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 32204254124 its reverse (42145240223), we get a palindrome (74349494347).

The spelling of 32204254124 in words is "thirty-two billion, two hundred four million, two hundred fifty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 497 853 994 1706 1988 2713 3412 3479 5426 5971 6958 10852 11942 13916 18991 23884 37982 41797 60563 75964 83594 121126 132937 167188 192623 242252 265874 385246 423941 531748 770492 847882 1348361 1695764 2314189 2696722 2967587 4628378 5393444 5935174 9256756 9438527 11870348 16199323 18877054 32398646 37754108 64797292 113395261 164307419 226790522 328614838 453581044 657229676 1150151933 2300303866 4600607732 8051063531 16102127062 32204254124