Search a number
-
+
39223116 = 223613451
BaseRepresentation
bin1001010110011…
…1111101001100
32201210202000000
42111213331030
540020114431
63520404300
7654251052
oct225477514
981722000
1039223116
112015a9a9
1211176690
13818405a
1452d01d2
15369b9e6
hex2567f4c

39223116 has 42 divisors (see below), whose sum is σ = 102921252. Its totient is φ = 13073400.

The previous prime is 39223111. The next prime is 39223117. The reversal of 39223116 is 61132293.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 39223116.

It is not an unprimeable number, because it can be changed into a prime (39223111) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3810 + ... + 9641.

It is an arithmetic number, because the mean of its divisors is an integer number (2450506).

Almost surely, 239223116 is an apocalyptic number.

39223116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

39223116 is an abundant number, since it is smaller than the sum of its proper divisors (63698136).

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

39223116 is a wasteful number, since it uses less digits than its factorization.

39223116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13473 (or 13456 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 39223116 is about 6262.8360987655. The cubic root of 39223116 is about 339.7666103015.

The spelling of 39223116 in words is "thirty-nine million, two hundred twenty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 13451 26902 40353 53804 80706 121059 161412 242118 363177 484236 726354 1089531 1452708 2179062 3268593 4358124 6537186 9805779 13074372 19611558 39223116