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220042020440 = 23511836025247
BaseRepresentation
bin1100110011101110000…
…1101100011001011000
3210000222002212210221202
43030323201230121120
512101121224123230
6245030320053332
721616563212324
oct3147341543130
9700862783852
10220042020440
1185356a90860
123678b764248
131799961a178
14a915bc4984
155accc40a45
hex333b86c658

220042020440 has 64 divisors (see below), whose sum is σ = 546610498560. Its totient is φ = 79051227520.

The previous prime is 220042020409. The next prime is 220042020461. The reversal of 220042020440 is 44020240022.

220042020440 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 (20).

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, 2976104 + ... + 3049143.

It is an arithmetic number, because the mean of its divisors is an integer number (8540789040).

Almost surely, 2220042020440 is an apocalyptic number.

220042020440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220042020440 is an abundant number, since it is smaller than the sum of its proper divisors (326568478120).

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

220042020440 is a wasteful number, since it uses less digits than its factorization.

220042020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025352 (or 6025348 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 220042020440 its reverse (44020240022), we get a palindrome (264062260462).

The spelling of 220042020440 in words is "two hundred twenty billion, forty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 332 415 440 664 830 913 1660 1826 3320 3652 4565 7304 9130 18260 36520 6025247 12050494 24100988 30126235 48201976 60252470 66277717 120504940 132555434 241009880 265110868 331388585 500095501 530221736 662777170 1000191002 1325554340 2000382004 2500477505 2651108680 4000764008 5000955010 5501050511 10001910020 11002101022 20003820040 22004202044 27505252555 44008404088 55010505110 110021010220 220042020440