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220020406464 = 2633730971341
BaseRepresentation
bin1100110011101000111…
…1001111100011000000
3210000220121012201011010
43030322033033203000
512101100211001324
6245024224520520
721616211411655
oct3147217174300
9700817181133
10220020406464
1185345868971
1236784480140
1317994cc0231
14a912d99c2c
155acadc1829
hex333a3cf8c0

220020406464 has 56 divisors (see below), whose sum is σ = 597870785968. Its totient is φ = 71357967360.

The previous prime is 220020406423. The next prime is 220020406469. The reversal of 220020406464 is 464604020022.

220020406464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220020406469) 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 7 ways as a sum of consecutive naturals, for example, 15478567 + ... + 15492774.

Almost surely, 2220020406464 is an apocalyptic number.

220020406464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220020406464 is an abundant number, since it is smaller than the sum of its proper divisors (377850379504).

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

220020406464 is a wasteful number, since it uses less digits than its factorization.

220020406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30971393 (or 30971383 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 220020406464 its reverse (464604020022), we get a palindrome (684624426486).

The spelling of 220020406464 in words is "two hundred twenty billion, twenty million, four hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 30971341 61942682 92914023 123885364 185828046 247770728 371656092 495541456 743312184 991082912 1145939617 1486624368 1982165824 2291879234 2973248736 3437818851 4583758468 5946497472 6875637702 9167516936 13751275404 18335033872 27502550808 36670067744 55005101616 73340135488 110010203232 220020406464