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22228024 = 23713191607
BaseRepresentation
bin101010011001…
…0110000111000
31112211022010011
41110302300320
521142244044
62112231304
7356635510
oct124626070
945738104
1022228024
1111602275
12753b534
1347b35a0
142d48840
151e41134
hex1532c38

22228024 has 64 divisors (see below), whose sum is σ = 54028800. Its totient is φ = 8325504.

The previous prime is 22228021. The next prime is 22228091. The reversal of 22228024 is 42082222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22227986 and 22228004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22228021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13029 + ... + 14635.

It is an arithmetic number, because the mean of its divisors is an integer number (844200).

Almost surely, 222228024 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 22228024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27014400).

22228024 is an abundant number, since it is smaller than the sum of its proper divisors (31800776).

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

22228024 is a wasteful number, since it uses less digits than its factorization.

22228024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 22228024 is about 4714.6605392117. The cubic root of 22228024 is about 281.1686866827.

It can be divided in two parts, 22 and 228024, that multiplied together give a triangular number (5016528 = T3167).

The spelling of 22228024 in words is "twenty-two million, two hundred twenty-eight thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1607 1729 1976 3214 3458 6428 6916 11249 12856 13832 20891 22498 30533 41782 44996 61066 83564 89992 122132 146237 167128 213731 244264 292474 396929 427462 584948 793858 854924 1169896 1587716 1709848 2778503 3175432 5557006 11114012 22228024