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230222222032 = 24112118916437
BaseRepresentation
bin1101011001101001010…
…0000101001011010000
3211000020120201122012011
43112122110011023100
512232443342101112
6253432421112304
722430056412335
oct3263224051320
9730216648164
10230222222032
1189700495a00
1238750b58694
131892c74c1aa
14b1ddc5498c
155ec6846aa7
hex359a5052d0

230222222032 has 30 divisors (see below), whose sum is σ = 490292473874. Its totient is φ = 104646463680.

The previous prime is 230222221979. The next prime is 230222222051.

230222222032 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 202647626896 + 27574595136 = 450164^2 + 166056^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230222221994 and 230222222012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59456283 + ... + 59460154.

Almost surely, 2230222222032 is an apocalyptic number.

230222222032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230222222032 is an abundant number, since it is smaller than the sum of its proper divisors (260070251842).

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

230222222032 is a wasteful number, since it uses less digits than its factorization.

230222222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118916467 (or 118916450 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

It can be divided in two parts, 230222 and 222032, that added together give a palindrome (452254).

The spelling of 230222222032 in words is "two hundred thirty billion, two hundred twenty-two million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 118916437 237832874 475665748 951331496 1308080807 1902662992 2616161614 5232323228 10464646456 14388888877 20929292912 28777777754 57555555508 115111111016 230222222032