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22072338 = 2341971101
BaseRepresentation
bin101010000110…
…0110000010010
31112112101120000
41110030300102
521122303323
62105030430
7355416561
oct124146022
945471500
1022072338
1111506302
127485416
13475a772
142d07bd8
151e0ee43
hex150cc12

22072338 has 80 divisors (see below), whose sum is σ = 53317440. Its totient is φ = 6804000.

The previous prime is 22072333. The next prime is 22072339. The reversal of 22072338 is 83327022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22072331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218488 + ... + 218588.

It is an arithmetic number, because the mean of its divisors is an integer number (666468).

Almost surely, 222072338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22072338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658720).

22072338 is an abundant number, since it is smaller than the sum of its proper divisors (31245102).

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

22072338 is a wasteful number, since it uses less digits than its factorization.

22072338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 22072338 is about 4698.1206881050. The cubic root of 22072338 is about 280.5107090767.

The spelling of 22072338 in words is "twenty-two million, seventy-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 71 81 101 114 142 162 171 202 213 303 342 426 513 606 639 909 1026 1278 1349 1539 1818 1917 1919 2698 2727 3078 3834 3838 4047 5454 5751 5757 7171 8094 8181 11502 11514 12141 14342 16362 17271 21513 24282 34542 36423 43026 51813 64539 72846 103626 109269 129078 136249 155439 193617 218538 272498 310878 387234 408747 580851 817494 1161702 1226241 2452482 3678723 7357446 11036169 22072338