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212223023120420 = 225134119908351137
BaseRepresentation
bin110000010000010000000101…
…111010000000000000100100
31000211102022201101001112200222
4300100100011322000000210
5210304030222404323140
62031205524431023512
762462415231510224
oct6020200572000044
91024368641045628
10212223023120420
11616913079aa4a4
121b9762b106ab98
139155711a935c0
143a599132b0084
15198061b7ae5b5
hexc10405e80024

212223023120420 has 48 divisors (see below), whose sum is σ = 491656639704048. Its totient is φ = 76448068362240.

The previous prime is 212223023120413. The next prime is 212223023120467. The reversal of 212223023120420 is 24021320322212.

It can be written as a sum of positive squares in 8 ways, for example, as 57098788027876 + 155124235092544 = 7556374^2 + 12454888^2 .

It is a super-2 number, since 2×2122230231204202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 212223023120420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9954164909 + ... + 9954186228.

It is an arithmetic number, because the mean of its divisors is an integer number (10242846660501).

Almost surely, 2212223023120420 is an apocalyptic number.

212223023120420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212223023120420 is an abundant number, since it is smaller than the sum of its proper divisors (279433616583628).

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

212223023120420 is a wasteful number, since it uses less digits than its factorization.

212223023120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19908351200 (or 19908351198 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 212223023120420 its reverse (24021320322212), we get a palindrome (236244343442632).

The spelling of 212223023120420 in words is "two hundred twelve trillion, two hundred twenty-three billion, twenty-three million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 10660 19908351137 39816702274 79633404548 99541755685 199083511370 258808564781 398167022740 517617129562 816242396617 1035234259124 1294042823905 1632484793234 2588085647810 3264969586468 4081211983085 5176171295620 8162423966170 10611151156021 16324847932340 21222302312042 42444604624084 53055755780105 106111511560210 212223023120420