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22355320 = 2351323307
BaseRepresentation
bin101010101000…
…1110101111000
31120001202201211
41111101311320
521210332240
62115052504
7361005601
oct125216570
946052654
1022355320
1111689979
1275a1134
134829500
142d7cda8
151e68bea
hex1551d78

22355320 has 48 divisors (see below), whose sum is σ = 54482760. Its totient is φ = 8251776.

The previous prime is 22355297. The next prime is 22355321. The reversal of 22355320 is 2355322.

It is a junction number, because it is equal to n+sod(n) for n = 22355291 and 22355300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22355321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5107 + ... + 8413.

Almost surely, 222355320 is an apocalyptic number.

22355320 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 22355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27241380).

22355320 is an abundant number, since it is smaller than the sum of its proper divisors (32127440).

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

22355320 is a wasteful number, since it uses less digits than its factorization.

22355320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 22355320 is about 4728.1412838451. The cubic root of 22355320 is about 281.7043999416.

The spelling of 22355320 in words is "twenty-two million, three hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3307 3380 6614 6760 13228 16535 26456 33070 42991 66140 85982 132280 171964 214955 343928 429910 558883 859820 1117766 1719640 2235532 2794415 4471064 5588830 11177660 22355320