Search a number
-
+
22075632 = 2433137373
BaseRepresentation
bin101010000110…
…1100011110000
31112112120002000
41110031203300
521122410012
62105054000
7355432305
oct124154360
945476060
1022075632
1111508827
127487300
13475c107
142d090ac
151e10ddc
hex150d8f0

22075632 has 80 divisors (see below), whose sum is σ = 63998880. Its totient is φ = 7285248.

The previous prime is 22075631. The next prime is 22075637. The reversal of 22075632 is 23657022.

22075632 is a `hidden beast` number, since 2 + 20 + 7 + 5 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22075596 and 22075605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22075631) 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, 58998 + ... + 59370.

It is an arithmetic number, because the mean of its divisors is an integer number (799986).

Almost surely, 222075632 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 22075632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31999440).

22075632 is an abundant number, since it is smaller than the sum of its proper divisors (41923248).

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

22075632 is a wasteful number, since it uses less digits than its factorization.

22075632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 22075632 is about 4698.4712407335. The cubic root of 22075632 is about 280.5246625345.

The spelling of 22075632 in words is "twenty-two million, seventy-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 373 411 432 548 746 822 1096 1119 1233 1492 1644 2192 2238 2466 2984 3288 3357 3699 4476 4932 5968 6576 6714 7398 8952 9864 10071 13428 14796 17904 19728 20142 26856 29592 40284 51101 53712 59184 80568 102202 153303 161136 204404 306606 408808 459909 613212 817616 919818 1226424 1379727 1839636 2452848 2759454 3679272 5518908 7358544 11037816 22075632