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22019424 = 2537231151
BaseRepresentation
bin101001111111…
…1110101100000
31112102200222020
41103333311200
521114110144
62103541440
7355106400
oct123776540
945380866
1022019424
111147a579
12745a880
13473c65b
142cd2800
151dee419
hex14ffd60

22019424 has 144 divisors (see below), whose sum is σ = 69866496. Its totient is φ = 6048000.

The previous prime is 22019411. The next prime is 22019429. The reversal of 22019424 is 42491022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22019394 and 22019403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22019429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145749 + ... + 145899.

It is an arithmetic number, because the mean of its divisors is an integer number (485184).

Almost surely, 222019424 is an apocalyptic number.

22019424 is a gapful number since it is divisible by the number (24) 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 22019424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34933248).

22019424 is an abundant number, since it is smaller than the sum of its proper divisors (47847072).

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

22019424 is a wasteful number, since it uses less digits than its factorization.

22019424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 22019424 is about 4692.4859083433. The cubic root of 22019424 is about 280.2863736744.

The spelling of 22019424 in words is "twenty-two million, nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 84 93 96 98 112 124 147 151 168 186 196 217 224 248 294 302 336 372 392 434 453 496 588 604 651 672 744 784 868 906 992 1057 1176 1208 1302 1488 1519 1568 1736 1812 2114 2352 2416 2604 2976 3038 3171 3472 3624 4228 4557 4681 4704 4832 5208 6076 6342 6944 7248 7399 8456 9114 9362 10416 12152 12684 14043 14496 14798 16912 18228 18724 20832 22197 24304 25368 28086 29596 32767 33824 36456 37448 44394 48608 50736 56172 59192 65534 72912 74896 88788 98301 101472 112344 118384 131068 145824 149792 177576 196602 224688 229369 236768 262136 355152 393204 449376 458738 524272 688107 710304 786408 917476 1048544 1376214 1572816 1834952 2752428 3145632 3669904 5504856 7339808 11009712 22019424