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232223120 = 2452902789
BaseRepresentation
bin11011101011101…
…11000110010000
3121011222011020022
431311313012100
5433422114440
635013203012
75516602223
oct1565670620
9534864208
10232223120
1110a0a1738
1265930468
133915a13c
1422bad5ba
15155c1cb5
hexdd77190

232223120 has 20 divisors (see below), whose sum is σ = 539918940. Its totient is φ = 92889216.

The previous prime is 232223119. The next prime is 232223129. The reversal of 232223120 is 21322232.

It can be written as a sum of positive squares in 2 ways, for example, as 102900736 + 129322384 = 10144^2 + 11372^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (232223129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1451315 + ... + 1451474.

It is an arithmetic number, because the mean of its divisors is an integer number (26995947).

Almost surely, 2232223120 is an apocalyptic number.

232223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232223120 is an abundant number, since it is smaller than the sum of its proper divisors (307695820).

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

232223120 is a wasteful number, since it uses less digits than its factorization.

232223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902802 (or 2902796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 232223120 is about 15238.8687244165. The cubic root of 232223120 is about 614.6602834403.

Adding to 232223120 its reverse (21322232), we get a palindrome (253545352).

The spelling of 232223120 in words is "two hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2902789 5805578 11611156 14513945 23222312 29027890 46444624 58055780 116111560 232223120