Search a number
-
+
21220503220 = 22571073534013
BaseRepresentation
bin10011110000110101…
…110010111010110100
32000202220010020220201
4103300311302322310
5321424422100340
613425405010244
71350602205220
oct236065627264
960686106821
1021220503220
118aaa46a174
124142853984
1320024ca5a7
141054431780
15842ea679a
hex4f0d72eb4

21220503220 has 96 divisors (see below), whose sum is σ = 51563651328. Its totient is φ = 7185395712.

The previous prime is 21220503167. The next prime is 21220503247. The reversal of 21220503220 is 2230502212.

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 31 ways as a sum of consecutive naturals, for example, 5285934 + ... + 5289946.

It is an arithmetic number, because the mean of its divisors is an integer number (537121368).

Almost surely, 221220503220 is an apocalyptic number.

21220503220 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 21220503220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25781825664).

21220503220 is an abundant number, since it is smaller than the sum of its proper divisors (30343148108).

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

21220503220 is a wasteful number, since it uses less digits than its factorization.

21220503220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The spelling of 21220503220 in words is "twenty-one billion, two hundred twenty million, five hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 353 428 535 706 749 1070 1412 1498 1765 2140 2471 2996 3530 3745 4013 4942 7060 7490 8026 9884 12355 14980 16052 20065 24710 28091 37771 40130 49420 56182 75542 80260 112364 140455 151084 188855 264397 280910 377710 429391 528794 561820 755420 858782 1057588 1321985 1416589 1717564 2146955 2643970 2833178 3005737 4293910 5287940 5666356 6011474 7082945 8587820 9916123 12022948 14165890 15028685 19832246 28331780 30057370 39664492 49580615 60114740 99161230 151575023 198322460 303150046 606300092 757875115 1061025161 1515750230 2122050322 3031500460 4244100644 5305125805 10610251610 21220503220