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220020022112 = 25114998291511
BaseRepresentation
bin1100110011101000110…
…1110001101101100000
3210000220120111011220212
43030322031301231200
512101100111201422
6245024212353252
721616205221262
oct3147215615540
9700816434825
10220020022112
1185345626120
1236784315828
1317994bb72c7
14a912cd9b32
155acad479e2
hex333a371b60

220020022112 has 96 divisors (see below), whose sum is σ = 474374880000. Its totient is φ = 99622310400.

The previous prime is 220020022067. The next prime is 220020022127. The reversal of 220020022112 is 211220020022.

220020022112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 145611437 + ... + 145612947.

It is an arithmetic number, because the mean of its divisors is an integer number (4941405000).

Almost surely, 2220020022112 is an apocalyptic number.

220020022112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220020022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237187440000).

220020022112 is an abundant number, since it is smaller than the sum of its proper divisors (254354857888).

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

220020022112 is a wasteful number, since it uses less digits than its factorization.

220020022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220020022112 its reverse (211220020022), we get a palindrome (431240042134).

The spelling of 220020022112 in words is "two hundred twenty billion, twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 499 829 998 1511 1658 1996 3022 3316 3992 5489 6044 6632 7984 9119 10978 12088 13264 15968 16621 18238 21956 24176 26528 33242 36476 43912 48352 66484 72952 87824 132968 145904 175648 265936 291808 413671 531872 753989 827342 1252619 1507978 1654684 2505238 3015956 3309368 4550381 5010476 6031912 6618736 8293879 9100762 10020952 12063824 13237472 13778809 16587758 18201524 20041904 24127648 27557618 33175516 36403048 40083808 55115236 66351032 72806096 110230472 132702064 145612192 220460944 265404128 440921888 625056881 1250113762 2500227524 5000455048 6875625691 10000910096 13751251382 20001820192 27502502764 55005005528 110010011056 220020022112