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22230824 = 23711151239
BaseRepresentation
bin101010011001…
…1011100101000
31112211102221212
41110303130220
521142341244
62112252252
7356646620
oct124633450
945742855
1022230824
1111604390
127541088
1347b4945
142d49880
151e41d9e
hex1533728

22230824 has 64 divisors (see below), whose sum is σ = 52531200. Its totient is φ = 8568000.

The previous prime is 22230823. The next prime is 22230827. The reversal of 22230824 is 42803222.

It is a self number, because there is not a number n which added to its sum of digits gives 22230824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92897 + ... + 93135.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 222230824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26265600).

22230824 is an abundant number, since it is smaller than the sum of its proper divisors (30300376).

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

22230824 is a wasteful number, since it uses less digits than its factorization.

22230824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 22230824 is about 4714.9574759482. The cubic root of 22230824 is about 281.1804921896.

The spelling of 22230824 in words is "twenty-two million, two hundred thirty thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 151 154 239 302 308 478 604 616 956 1057 1208 1661 1673 1912 2114 2629 3322 3346 4228 5258 6644 6692 8456 10516 11627 13288 13384 18403 21032 23254 36089 36806 46508 72178 73612 93016 144356 147224 252623 288712 396979 505246 793958 1010492 1587916 2020984 2778853 3175832 5557706 11115412 22230824