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22435020 = 223251131103
BaseRepresentation
bin101010110010…
…1010011001100
31120012211001200
41111211103030
521220410040
62120505500
7361460136
oct125452314
946184050
1022435020
1111733843
12761b290
13485687a
142da0056
151e82630
hex15654cc

22435020 has 72 divisors (see below), whose sum is σ = 68717376. Its totient is φ = 5924352.

The previous prime is 22435013. The next prime is 22435037. The reversal of 22435020 is 2053422.

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 = 22434984 and 22435002.

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, 19789 + ... + 20891.

It is an arithmetic number, because the mean of its divisors is an integer number (954408).

Almost surely, 222435020 is an apocalyptic number.

22435020 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 22435020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34358688).

22435020 is an abundant number, since it is smaller than the sum of its proper divisors (46282356).

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

22435020 is a wasteful number, since it uses less digits than its factorization.

22435020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22435020 is about 4736.5620443524. The cubic root of 22435020 is about 282.0387754135.

Adding to 22435020 its reverse (2053422), we get a palindrome (24488442).

The spelling of 22435020 in words is "twenty-two million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1103 1130 1356 1695 2034 2206 2260 3309 3390 4068 4412 5085 5515 6618 6780 9927 10170 11030 13236 16545 19854 20340 22060 33090 39708 49635 66180 99270 124639 198540 249278 373917 498556 623195 747834 1121751 1246390 1495668 1869585 2243502 2492780 3739170 4487004 5608755 7478340 11217510 22435020