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2442400004220 = 2235113700606067
BaseRepresentation
bin100011100010101010011…
…000100111100001111100
322122111021001111121022120
4203202222120213201330
5310004013400113340
65110004552242540
7341312643331521
oct43425230474174
98574231447276
102442400004220
118618a8146990
1233542a9a0450
131494182427b7
14862d9c81148
15437ebe354d0
hex238aa62787c

2442400004220 has 48 divisors (see below), whose sum is σ = 7460421833088. Its totient is φ = 592096970560.

The previous prime is 2442400004147. The next prime is 2442400004243. The reversal of 2442400004220 is 224000042442.

It is a super-2 number, since 2×24424000042202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 1850302374 + ... + 1850303693.

It is an arithmetic number, because the mean of its divisors is an integer number (155425454856).

Almost surely, 22442400004220 is an apocalyptic number.

2442400004220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442400004220 is an abundant number, since it is smaller than the sum of its proper divisors (5018021828868).

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

2442400004220 is a wasteful number, since it uses less digits than its factorization.

2442400004220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700606090 (or 3700606088 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2442400004220 its reverse (224000042442), we get a palindrome (2666400046662).

The spelling of 2442400004220 in words is "two trillion, four hundred forty-two billion, four hundred million, four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3700606067 7401212134 11101818201 14802424268 18503030335 22203636402 37006060670 40706666737 44407272804 55509091005 74012121340 81413333474 111018182010 122120000211 162826666948 203533333685 222036364020 244240000422 407066667370 488480000844 610600001055 814133334740 1221200002110 2442400004220