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22224400220 = 225111710954517
BaseRepresentation
bin10100101100101011…
…010110111101011100
32010100212010111201002
4110230223112331130
5331003421301340
614113150005432
71414512166511
oct245453267534
963325114632
1022224400220
119475104910
124382aa6878
1321324a0499
14110b8b5308
158a11a7715
hex52cad6f5c

22224400220 has 96 divisors (see below), whose sum is σ = 54404602560. Its totient is φ = 7536291840.

The previous prime is 22224400217. The next prime is 22224400223. The reversal of 22224400220 is 2200442222.

It is an interprime number because it is at equal distance from previous prime (22224400217) and next prime (22224400223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22224400192 and 22224400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224400223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380402 + ... + 434918.

It is an arithmetic number, because the mean of its divisors is an integer number (566714610).

Almost surely, 222224400220 is an apocalyptic number.

22224400220 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 22224400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27202301280).

22224400220 is an abundant number, since it is smaller than the sum of its proper divisors (32180202340).

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

22224400220 is a wasteful number, since it uses less digits than its factorization.

22224400220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54663 (or 54661 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22224400220 its reverse (2200442222), we get a palindrome (24424842442).

It can be divided in two parts, 222 and 24400220, that added together give a palindrome (24400442).

The spelling of 22224400220 in words is "twenty-two billion, two hundred twenty-four million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 109 110 170 187 218 220 340 374 436 545 748 935 1090 1199 1853 1870 2180 2398 3706 3740 4796 5995 7412 9265 11990 18530 20383 23980 37060 40766 54517 81532 101915 109034 203830 218068 272585 407660 545170 599687 926789 1090340 1199374 1853578 2398748 2998435 3707156 4633945 5942353 5996870 9267890 10194679 11884706 11993740 18535780 20389358 23769412 29711765 40778716 50973395 59423530 65365883 101020001 101946790 118847060 130731766 202040002 203893580 261463532 326829415 404080004 505100005 653658830 1010200010 1111220011 1307317660 2020400020 2222440022 4444880044 5556100055 11112200110 22224400220