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22422000420 = 2234554725303
BaseRepresentation
bin10100111000011101…
…001001001100100100
32010212121221122020000
4110320131021030210
5331410013003140
614144525141300
71422431600421
oct247035111444
963777848200
1022422000420
1195666a8866
1244190ba830
1321643c7391
141129c30d48
158b36daa30
hex538749324

22422000420 has 120 divisors (see below), whose sum is σ = 70470020544. Its totient is φ = 5968033344.

The previous prime is 22422000329. The next prime is 22422000437. The reversal of 22422000420 is 2400022422.

22422000420 is a `hidden beast` number, since 2 + 2 + 42 + 200 + 0 + 420 = 666.

It is a super-2 number, since 2×224220004202 (a number of 22 digits) contains 22 as substring.

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 = 22422000393 and 22422000402.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 873489 + ... + 898791.

Almost surely, 222422000420 is an apocalyptic number.

22422000420 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 22422000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35235010272).

22422000420 is an abundant number, since it is smaller than the sum of its proper divisors (48048020124).

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

22422000420 is a wasteful number, since it uses less digits than its factorization.

22422000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25871 (or 25860 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22422000420 its reverse (2400022422), we get a palindrome (24822022842).

The spelling of 22422000420 in words is "twenty-two billion, four hundred twenty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 547 810 1094 1620 1641 2188 2735 3282 4923 5470 6564 8205 9846 10940 14769 16410 19692 24615 25303 29538 32820 44307 49230 50606 59076 73845 75909 88614 98460 101212 126515 147690 151818 177228 221535 227727 253030 295380 303636 379545 443070 455454 506060 683181 759090 886140 910908 1138635 1366362 1518180 2049543 2277270 2732724 3415905 4099086 4554540 6831810 8198172 10247715 13663620 13840741 20495430 27681482 40990860 41522223 55362964 69203705 83044446 124566669 138407410 166088892 207611115 249133338 276814820 373700007 415222230 498266676 622833345 747400014 830444460 1121100021 1245666690 1494800028 1868500035 2242200042 2491333380 3737000070 4484400084 5605500105 7474000140 11211000210 22422000420