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22224644420 = 22511233523829
BaseRepresentation
bin10100101100101100…
…010010100101000100
32010100212120220200112
4110230230102211010
5331004002110140
614113155132152
71414514234456
oct245454224504
963325526615
1022224644420
119475261330
124382ba4058
132132557694
14110b93a2d6
158a1204c65
hex52cb12944

22224644420 has 96 divisors (see below), whose sum is σ = 51292725120. Its totient is φ = 8021928960.

The previous prime is 22224644419. The next prime is 22224644473. The reversal of 22224644420 is 2444642222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26808566 + ... + 26809394.

It is an arithmetic number, because the mean of its divisors is an integer number (534299220).

Almost surely, 222224644420 is an apocalyptic number.

22224644420 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 22224644420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25646362560).

22224644420 is an abundant number, since it is smaller than the sum of its proper divisors (29068080700).

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

22224644420 is a wasteful number, since it uses less digits than its factorization.

22224644420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

It can be divided in two parts, 222 and 24644420, that added together give a palindrome (24644642).

The spelling of 22224644420 in words is "twenty-two billion, two hundred twenty-four million, six hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 523 829 932 1046 1165 1658 2092 2330 2563 2615 3316 4145 4660 5126 5230 5753 8290 9119 10252 10460 11506 12815 16580 18238 23012 25630 28765 36476 45595 51260 57530 91190 115060 121859 182380 193157 243718 386314 433567 487436 609295 772628 867134 965785 1218590 1340449 1734268 1931570 2124727 2167835 2437180 2680898 3863140 4249454 4335670 4769237 5361796 6702245 8498908 8671340 9538474 10623635 13404490 19076948 21247270 23846185 26808980 42494540 47692370 95384740 101021111 202042222 404084444 505105555 1010211110 1111232221 2020422220 2222464442 4444928884 5556161105 11112322210 22224644420