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21202412220 = 223251110708289
BaseRepresentation
bin10011101111110000…
…110010001010111100
32000201122002010201200
4103233300302022330
5321410304142340
613423521135500
71350262346613
oct235760621274
960648063650
1021202412220
118aa0233130
12413878a590
131ccb835062
141051c8287a
158415d1330
hex4efc322bc

21202412220 has 72 divisors (see below), whose sum is σ = 70160716080. Its totient is φ = 5139978240.

The previous prime is 21202412201. The next prime is 21202412233. The reversal of 21202412220 is 2221420212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21202412193 and 21202412202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5352165 + ... + 5356124.

It is an arithmetic number, because the mean of its divisors is an integer number (974454390).

Almost surely, 221202412220 is an apocalyptic number.

21202412220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202412220 is an abundant number, since it is smaller than the sum of its proper divisors (48958303860).

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

21202412220 is a wasteful number, since it uses less digits than its factorization.

21202412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10708315 (or 10708310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21202412220 its reverse (2221420212), we get a palindrome (23423832432).

The spelling of 21202412220 in words is "twenty-one billion, two hundred two million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10708289 21416578 32124867 42833156 53541445 64249734 96374601 107082890 117791179 128499468 160624335 192749202 214165780 235582358 321248670 353373537 385498404 471164716 481873005 588955895 642497340 706747074 963746010 1060120611 1177911790 1413494148 1766867685 1927492020 2120241222 2355823580 3533735370 4240482444 5300603055 7067470740 10601206110 21202412220