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221222102211220 = 225113952312544221
BaseRepresentation
bin110010010011001101001000…
…110100011001101010010100
31002000021121220200000100010011
4302103031020310121222110
5212444000331131224340
62102300010351210004
764411524630623155
oct6223151064315224
91060247820010104
10221222102211220
11645408484a4940
122098a3aa516904
139659201c186b6
143c8b2c795592c
151a897641ce0ea
hexc93348d19a94

221222102211220 has 48 divisors (see below), whose sum is σ = 506801206550016. Its totient is φ = 80444165648000.

The previous prime is 221222102211193. The next prime is 221222102211223. The reversal of 221222102211220 is 22112201222122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221222102211191 and 221222102211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221222102211223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85678710 + ... + 88222930.

It is an arithmetic number, because the mean of its divisors is an integer number (10558358469792).

Almost surely, 2221222102211220 is an apocalyptic number.

221222102211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222102211220 is an abundant number, since it is smaller than the sum of its proper divisors (285579104338796).

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

221222102211220 is a wasteful number, since it uses less digits than its factorization.

221222102211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939472 (or 2939470 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221222102211220 its reverse (22112201222122), we get a palindrome (243334303433342).

The spelling of 221222102211220 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 395231 790462 1580924 1976155 2544221 3952310 4347541 5088442 7904620 8695082 10176884 12721105 17390164 21737705 25442210 27986431 43475410 50884420 55972862 86950820 111945724 139932155 279864310 559728620 1005555010051 2011110020102 4022220040204 5027775050255 10055550100510 11061105110561 20111100201020 22122210221122 44244420442244 55305525552805 110611051105610 221222102211220