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221314025140140 = 223522639162929771
BaseRepresentation
bin110010010100100010101111…
…110110100010111110101100
31002000121102011221012221211010
4302110202233312202332230
5213002002110413441030
62102410132022425220
764421260566624402
oct6224425766427654
91060542157187733
10221314025140140
1164576829601989
12209a4183292210
139664a9123bb2a
143c91927da9472
151a8bd442976b0
hexc948afda2fac

221314025140140 has 48 divisors (see below), whose sum is σ = 619706646397440. Its totient is φ = 59014466132160.

The previous prime is 221314025140123. The next prime is 221314025140163. The reversal of 221314025140140 is 41041520413122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221314025140098 and 221314025140107.

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, 80106546 + ... + 82823225.

It is an arithmetic number, because the mean of its divisors is an integer number (12910555133280).

Almost surely, 2221314025140140 is an apocalyptic number.

221314025140140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221314025140140 is an abundant number, since it is smaller than the sum of its proper divisors (398392621257300).

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

221314025140140 is a wasteful number, since it uses less digits than its factorization.

221314025140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162952422 (or 162952420 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 221314025140140 its reverse (41041520413122), we get a palindrome (262355545553262).

The spelling of 221314025140140 in words is "two hundred twenty-one trillion, three hundred fourteen billion, twenty-five million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 22639 45278 67917 90556 113195 135834 226390 271668 339585 452780 679170 1358340 162929771 325859542 488789313 651719084 814648855 977578626 1629297710 1955157252 2443946565 3258595420 4887893130 9775786260 3688567085669 7377134171338 11065701257007 14754268342676 18442835428345 22131402514014 36885670856690 44262805028028 55328506285035 73771341713380 110657012570070 221314025140140