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222002100020 = 225171494382197
BaseRepresentation
bin1100111011000001011…
…0110011011100110100
3210020000201010011122202
43032300112303130310
512114130014200040
6245553015244032
722016263500131
oct3166026633464
9706021104582
10222002100020
1186172441638
1237038079618
1317c1c727c7c
14aa6024b588
155b94d6a015
hex33b05b3734

222002100020 has 48 divisors (see below), whose sum is σ = 496941253200. Its totient is φ = 83016321024.

The previous prime is 222002099947. The next prime is 222002100059. The reversal of 222002100020 is 20001200222.

It can be written as a sum of positive squares in 8 ways, for example, as 117765904 + 221884334116 = 10852^2 + 471046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222002099974 and 222002100010.

It is a congruent number.

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, 2140439 + ... + 2241758.

It is an arithmetic number, because the mean of its divisors is an integer number (10352942775).

Almost surely, 2222002100020 is an apocalyptic number.

222002100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222002100020 is an abundant number, since it is smaller than the sum of its proper divisors (274939153180).

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

222002100020 is a wasteful number, since it uses less digits than its factorization.

222002100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382372 (or 4382370 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 222002100020 its reverse (20001200222), we get a palindrome (242003300242).

The spelling of 222002100020 in words is "two hundred twenty-two billion, two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 745 1490 2533 2980 5066 10132 12665 25330 50660 4382197 8764394 17528788 21910985 43821970 74497349 87643940 148994698 297989396 372486745 652947353 744973490 1305894706 1489946980 2611789412 3264736765 6529473530 11100105001 13058947060 22200210002 44400420004 55500525005 111001050010 222002100020