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30226560 = 2735713173
BaseRepresentation
bin111001101001…
…1100010000000
32002212200001020
41303103202000
530214222220
62555505440
7514631040
oct163234200
962780036
1030226560
1116075731
12a158280
136354150
14402b720
1529c1040
hex1cd3880

30226560 has 256 divisors, whose sum is σ = 119266560. Its totient is φ = 6340608.

The previous prime is 30226529. The next prime is 30226571. The reversal of 30226560 is 6562203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30226560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174634 + ... + 174806.

It is an arithmetic number, because the mean of its divisors is an integer number (465885).

Almost surely, 230226560 is an apocalyptic number.

30226560 is a gapful number since it is divisible by the number (30) 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 30226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59633280).

30226560 is an abundant number, since it is smaller than the sum of its proper divisors (89040000).

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

30226560 is a wasteful number, since it uses less digits than its factorization.

30226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 30226560 is about 5497.8686779515. The cubic root of 30226560 is about 311.5034837684.

Adding to 30226560 its reverse (6562203), we get a palindrome (36788763).

It can be divided in two parts, 302 and 26560, that added together give a palindrome (26862).

The spelling of 30226560 in words is "thirty million, two hundred twenty-six thousand, five hundred sixty".