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220232011032 = 233211278070721
BaseRepresentation
bin1100110100011011011…
…0011100110100011000
3210001110100101100001100
43031012312130310120
512102013343323112
6245101224151400
721624361130625
oct3150666346430
9701410340040
10220232011032
1185444257580
1236823308560
13179c9aab537
14a93311d34c
155ade76e2dc
hex3346d9cd18

220232011032 has 48 divisors (see below), whose sum is σ = 650685489480. Its totient is φ = 66736972800.

The previous prime is 220232011001. The next prime is 220232011037. The reversal of 220232011032 is 230110232022.

220232011032 is a `hidden beast` number, since 2 + 202 + 320 + 110 + 32 = 666.

220232011032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220232010996 and 220232011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220232011037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139034569 + ... + 139036152.

Almost surely, 2220232011032 is an apocalyptic number.

220232011032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220232011032 is an abundant number, since it is smaller than the sum of its proper divisors (430453478448).

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

220232011032 is a wasteful number, since it uses less digits than its factorization.

220232011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278070744 (or 278070737 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220232011032 its reverse (230110232022), we get a palindrome (450342243054).

The spelling of 220232011032 in words is "two hundred twenty billion, two hundred thirty-two million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 278070721 556141442 834212163 1112282884 1668424326 2224565768 2502636489 3058777931 3336848652 5005272978 6117555862 6673697304 9176333793 10010545956 12235111724 18352667586 20021091912 24470223448 27529001379 36705335172 55058002758 73410670344 110116005516 220232011032