Search a number
-
+
221024142023140 = 22579169782432939
BaseRepresentation
bin110010010000010100110001…
…011110001101100111100100
31001222120200221110222211112101
4302100110301132031213210
5212432224420324220030
62102025031125301444
764361316166033531
oct6220246136154744
91058520843884471
10221024142023140
11644748a30a2615
1220957b61b64884
1396436443a2931
143c818a8733d88
151a84529d837ca
hexc9053178d9e4

221024142023140 has 48 divisors (see below), whose sum is σ = 470303003923200. Its totient is φ = 87239108017152.

The previous prime is 221024142023137. The next prime is 221024142023159. The reversal of 221024142023140 is 41320241420122.

It is a super-2 number, since 2×2210241420231402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221024142023099 and 221024142023108.

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, 38535210 + ... + 43897729.

It is an arithmetic number, because the mean of its divisors is an integer number (9797979248400).

Almost surely, 2221024142023140 is an apocalyptic number.

221024142023140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221024142023140 is an abundant number, since it is smaller than the sum of its proper divisors (249278861900060).

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

221024142023140 is a wasteful number, since it uses less digits than its factorization.

221024142023140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82434724 (or 82434722 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 221024142023140 its reverse (41320241420122), we get a palindrome (262344383443262).

The spelling of 221024142023140 in words is "two hundred twenty-one trillion, twenty-four billion, one hundred forty-two million, twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 1697 3394 6788 8485 16970 33940 134063 268126 536252 670315 1340630 2681260 82432939 164865878 329731756 412164695 824329390 1648658780 6512202181 13024404362 26048808724 32561010905 65122021810 130244043620 139888697483 279777394966 559554789932 699443487415 1398886974830 2797773949660 11051207101157 22102414202314 44204828404628 55256035505785 110512071011570 221024142023140