Search a number
-
+
21220302420 = 22325409288241
BaseRepresentation
bin10011110000110101…
…000001111001010100
32000202212202001110200
4103300311001321110
5321424344134140
613425400420500
71350600410622
oct236065017124
960685661420
1021220302420
118aaa342319
124142777730
13200245a085
1410543bc512
15842e67030
hex4f0d41e54

21220302420 has 72 divisors (see below), whose sum is σ = 64525854120. Its totient is φ = 5644892160.

The previous prime is 21220302409. The next prime is 21220302449. The reversal of 21220302420 is 2420302212.

21220302420 is a `hidden beast` number, since 21 + 220 + 3 + 0 + 2 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6893648784 + 14326653636 = 83028^2 + 119694^2 .

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 = 21220302393 and 21220302402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70501 + ... + 217740.

Almost surely, 221220302420 is an apocalyptic number.

21220302420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220302420 is an abundant number, since it is smaller than the sum of its proper divisors (43305551700).

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

21220302420 is a wasteful number, since it uses less digits than its factorization.

21220302420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288665 (or 288660 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21220302420 its reverse (2420302212), we get a palindrome (23640604632).

The spelling of 21220302420 in words is "twenty-one billion, two hundred twenty million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 409 818 1227 1636 2045 2454 3681 4090 4908 6135 7362 8180 12270 14724 18405 24540 36810 73620 288241 576482 864723 1152964 1441205 1729446 2594169 2882410 3458892 4323615 5188338 5764820 8647230 10376676 12970845 17294460 25941690 51883380 117890569 235781138 353671707 471562276 589452845 707343414 1061015121 1178905690 1414686828 1768358535 2122030242 2357811380 3536717070 4244060484 5305075605 7073434140 10610151210 21220302420