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22220370 = 23251491657
BaseRepresentation
bin101010011000…
…0111001010010
31112210220121200
41110300321102
521142022440
62112132030
7356604264
oct124607122
945726550
1022220370
11115a7547
127537016
1347acc63
142d45b34
151e3dc30
hex1530e52

22220370 has 48 divisors (see below), whose sum is σ = 58195800. Its totient is φ = 5882112.

The previous prime is 22220357. The next prime is 22220371. The reversal of 22220370 is 7302222.

It can be written as a sum of positive squares in 4 ways, for example, as 11350161 + 10870209 = 3369^2 + 3297^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22220371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12582 + ... + 14238.

Almost surely, 222220370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29097900).

22220370 is an abundant number, since it is smaller than the sum of its proper divisors (35975430).

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

22220370 is a wasteful number, since it uses less digits than its factorization.

22220370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 22220370 is about 4713.8487459824. The cubic root of 22220370 is about 281.1364104266.

Adding to 22220370 its reverse (7302222), we get a palindrome (29522592).

The spelling of 22220370 in words is "twenty-two million, two hundred twenty thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 1657 2235 2682 3314 4470 4971 6705 8285 9942 13410 14913 16570 24855 29826 49710 74565 149130 246893 493786 740679 1234465 1481358 2222037 2468930 3703395 4444074 7406790 11110185 22220370