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32223134112 = 2531325819819
BaseRepresentation
bin11110000000101001…
…100000000110100000
310002011200111211001120
4132000221200012200
51011443110242422
622445245332240
72220343056261
oct360051400640
9102150454046
1032223134112
1112736134654
1262b3567080
133066b36580
1417b97c8968
15c88db545c
hex780a601a0

32223134112 has 48 divisors (see below), whose sum is σ = 91092324960. Its totient is φ = 9914810112.

The previous prime is 32223134101. The next prime is 32223134137. The reversal of 32223134112 is 21143132223.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12908662 + ... + 12911157.

It is an arithmetic number, because the mean of its divisors is an integer number (1897756770).

Almost surely, 232223134112 is an apocalyptic number.

32223134112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32223134112 is an abundant number, since it is smaller than the sum of its proper divisors (58869190848).

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

32223134112 is a wasteful number, since it uses less digits than its factorization.

32223134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25819845 (or 25819837 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 32223134112 its reverse (21143132223), we get a palindrome (53366266335).

The spelling of 32223134112 in words is "thirty-two billion, two hundred twenty-three million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 25819819 51639638 77459457 103279276 154918914 206558552 309837828 335657647 413117104 619675656 671315294 826234208 1006972941 1239351312 1342630588 2013945882 2478702624 2685261176 4027891764 5370522352 8055783528 10741044704 16111567056 32223134112