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22223324430 = 236537471753
BaseRepresentation
bin10100101100100111…
…010000010100001110
32010100210002212000000
4110230213100110032
5331003132340210
614113110545130
71414500066216
oct245447202416
963323085000
1022223324430
11947453a62a
1243826681a6
1321321b4918
14110b6b5246
158a1043ac0
hex52c9d050e

22223324430 has 224 divisors, whose sum is σ = 62942949504. Its totient is φ = 5640150528.

The previous prime is 22223324429. The next prime is 22223324491. The reversal of 22223324430 is 3442332222.

It is a happy number.

22223324430 is a `hidden beast` number, since 2 + 2 + 223 + 3 + 2 + 4 + 430 = 666.

It is a super-2 number, since 2×222233244302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22223324394 and 22223324403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12676434 + ... + 12678186.

Almost surely, 222223324430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22223324430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31471474752).

22223324430 is an abundant number, since it is smaller than the sum of its proper divisors (40719625074).

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

22223324430 is a wasteful number, since it uses less digits than its factorization.

22223324430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 22223324430 its reverse (3442332222), we get a palindrome (25665656652).

The spelling of 22223324430 in words is "twenty-two billion, two hundred twenty-three million, three hundred twenty-four thousand, four hundred thirty".