Search a number
-
+
21221202220 = 22519409136541
BaseRepresentation
bin10011110000111000…
…011101100100101100
32000202221102202202121
4103300320131210230
5321430111432340
613425432002324
71350611146141
oct236070354454
960687382677
1021221202220
118aaa8a7359
124142b303a4
1320026b37ba
1410545743c8
1584309394a
hex4f0e1d92c

21221202220 has 48 divisors (see below), whose sum is σ = 47025064800. Its totient is φ = 8021998080.

The previous prime is 21221202203. The next prime is 21221202229. The reversal of 21221202220 is 2220212212.

It is a junction number, because it is equal to n+sod(n) for n = 21221202194 and 21221202203.

It is not an unprimeable number, because it can be changed into a prime (21221202229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87150 + ... + 223690.

It is an arithmetic number, because the mean of its divisors is an integer number (979688850).

Almost surely, 221221202220 is an apocalyptic number.

21221202220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23512532400).

21221202220 is an abundant number, since it is smaller than the sum of its proper divisors (25803862580).

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

21221202220 is a wasteful number, since it uses less digits than its factorization.

21221202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136978 (or 136976 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21221202220 its reverse (2220212212), we get a palindrome (23441414432).

The spelling of 21221202220 in words is "twenty-one billion, two hundred twenty-one million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 409 818 1636 2045 4090 7771 8180 15542 31084 38855 77710 136541 155420 273082 546164 682705 1365410 2594279 2730820 5188558 10377116 12971395 25942790 51885580 55845269 111690538 223381076 279226345 558452690 1061060111 1116905380 2122120222 4244240444 5305300555 10610601110 21221202220