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22302030432 = 25311193110937
BaseRepresentation
bin10100110001010011…
…011111101001100000
32010120021012112100010
4110301103133221200
5331133304433212
614125001524520
71416444062613
oct246123375140
963507175303
1022302030432
119504a07610
1243a4aa3740
1321455b1016
141117d2217a
158a7dde03c
hex5314dfa60

22302030432 has 96 divisors (see below), whose sum is σ = 63903821184. Its totient is φ = 6754073600.

The previous prime is 22302030427. The next prime is 22302030469. The reversal of 22302030432 is 23403020322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×223020304322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22302030399 and 22302030408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2033668 + ... + 2044604.

It is an arithmetic number, because the mean of its divisors is an integer number (665664804).

Almost surely, 222302030432 is an apocalyptic number.

22302030432 is a gapful number since it is divisible by the number (22) 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 22302030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31951910592).

22302030432 is an abundant number, since it is smaller than the sum of its proper divisors (41601790752).

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

22302030432 is a wasteful number, since it uses less digits than its factorization.

22302030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12892 (or 12884 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 22302030432 its reverse (23403020322), we get a palindrome (45705050754).

The spelling of 22302030432 in words is "twenty-two billion, three hundred two million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1931 3862 5793 7724 10937 11586 15448 21241 21874 23172 30896 32811 42482 43748 46344 61792 63723 65622 84964 87496 92688 120307 127446 131244 169928 174992 185376 240614 254892 262488 339856 349984 360921 481228 509784 524976 679712 721842 962456 1019568 1049952 1443684 1924912 2039136 2887368 3849824 5774736 11549472 21119347 42238694 63358041 84477388 126716082 168954776 232312817 253432164 337909552 464625634 506864328 675819104 696938451 929251268 1013728656 1393876902 1858502536 2027457312 2787753804 3717005072 5575507608 7434010144 11151015216 22302030432