Search a number
-
+
221211020222220 = 22357275241843613
BaseRepresentation
bin110010010011000010110100…
…010001111101111100001100
31002000020120022100021222010010
4302103002310101331330030
5212443310132134102340
62102250534553513220
764410653204361300
oct6223026421757414
91060216270258103
10221211020222220
1164537080a57546
1220988217112810
139658157015562
143c8a955c21d00
151a89316346b80
hexc930b447df0c

221211020222220 has 72 divisors (see below), whose sum is σ = 720515894447664. Its totient is φ = 50562518907264.

The previous prime is 221211020222209. The next prime is 221211020222221. The reversal of 221211020222220 is 22222020112122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (221211020222221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37620918867 + ... + 37620924746.

It is an arithmetic number, because the mean of its divisors is an integer number (10007165200662).

Almost surely, 2221211020222220 is an apocalyptic number.

221211020222220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211020222220 is an abundant number, since it is smaller than the sum of its proper divisors (499304874225444).

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

221211020222220 is a wasteful number, since it uses less digits than its factorization.

221211020222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75241843639 (or 75241843630 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221211020222220 its reverse (22222020112122), we get a palindrome (243433040334342).

The spelling of 221211020222220 in words is "two hundred twenty-one trillion, two hundred eleven billion, twenty million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 75241843613 150483687226 225725530839 300967374452 376209218065 451451061678 526692905291 752418436130 902902123356 1053385810582 1128627654195 1504836872260 1580078715873 2106771621164 2257255308390 2633464526455 3160157431746 3686850337037 4514510616780 5266929052910 6320314863492 7373700674074 7900393579365 10533858105820 11060551011111 14747401348148 15800787158730 18434251685185 22121102022222 31601574317460 36868503370370 44242204044444 55302755055555 73737006740740 110605510111110 221211020222220