Search a number
-
+
222221002102220 = 225116715076051703
BaseRepresentation
bin110010100001101111011011…
…111001000101010111001100
31002010211010020201101102202102
4302201233123321011113030
5213111332103014232340
62104342530302414232
764543636406613302
oct6241573371052714
91063733221342672
10222221002102220
1164896441440640
1220b0bb03b91378
1396cc4732c5a64
143cc37a7c32272
151aa572908c215
hexca1bdbe455cc

222221002102220 has 48 divisors (see below), whose sum is σ = 516686443999488. Its totient is φ = 79601552986560.

The previous prime is 222221002102171. The next prime is 222221002102223. The reversal of 222221002102220 is 22201200122222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222221002102192 and 222221002102201.

It is not an unprimeable number, because it can be changed into a prime (222221002102223) 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, 7538011112 + ... + 7538040591.

It is an arithmetic number, because the mean of its divisors is an integer number (10764300916656).

Almost surely, 2222221002102220 is an apocalyptic number.

222221002102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222221002102220 is an abundant number, since it is smaller than the sum of its proper divisors (294465441897268).

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

222221002102220 is a wasteful number, since it uses less digits than its factorization.

222221002102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15076051790 (or 15076051788 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222221002102220 its reverse (22201200122222), we get a palindrome (244422202224442).

It can be divided in two parts, 222221002 and 102220, that added together give a palindrome (222323222).

The spelling of 222221002102220 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 14740 15076051703 30152103406 60304206812 75380258515 150760517030 165836568733 301521034060 331673137466 663346274932 829182843665 1010095464101 1658365687330 2020190928202 3316731374660 4040381856404 5050477320505 10100954641010 11111050105111 20201909282020 22222100210222 44444200420444 55555250525555 111110501051110 222221002102220