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32223023120 = 2452389168601
BaseRepresentation
bin11110000000101001…
…000101000000010000
310002011200022011210202
4132000221011000100
51011443043214440
622445243114332
72220342114551
oct360051050020
9102150264722
1032223023120
1112736069222
1262b35129a8
133066ac7bb2
1417b979a328
15c88d92615
hex780a45010

32223023120 has 40 divisors (see below), whose sum is σ = 74950333080. Its totient is φ = 12883737600.

The previous prime is 32223023089. The next prime is 32223023123. The reversal of 32223023120 is 2132032223.

It can be written as a sum of positive squares in 4 ways, for example, as 784896256 + 31438126864 = 28016^2 + 177308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32223023092 and 32223023101.

It is not an unprimeable number, because it can be changed into a prime (32223023123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106820 + ... + 275420.

It is an arithmetic number, because the mean of its divisors is an integer number (1873758327).

Almost surely, 232223023120 is an apocalyptic number.

It is an amenable number.

32223023120 is an abundant number, since it is smaller than the sum of its proper divisors (42727309960).

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

32223023120 is a wasteful number, since it uses less digits than its factorization.

32223023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171003 (or 170997 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32223023120 its reverse (2132032223), we get a palindrome (34355055343).

The spelling of 32223023120 in words is "thirty-two billion, two hundred twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2389 4778 9556 11945 19112 23890 38224 47780 95560 168601 191120 337202 674404 843005 1348808 1686010 2697616 3372020 6744040 13488080 402787789 805575578 1611151156 2013938945 3222302312 4027877890 6444604624 8055755780 16111511560 32223023120