Search a number
-
+
38021022 = 23313411321
BaseRepresentation
bin1001000100001…
…0011110011110
32122112200001000
42101002132132
534213133042
63434531130
7641113314
oct221023636
978480030
1038021022
111a509836
1210896aa6
137b52b60
14509a0b4
15351074c
hex244279e

38021022 has 64 divisors (see below), whose sum is σ = 93280320. Its totient is φ = 11404800.

The previous prime is 38021021. The next prime is 38021023. The reversal of 38021022 is 22012083.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38021021) and next prime (38021023).

It is a super-2 number, since 2×380210222 = 2891196227848968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 38020986 and 38021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38021021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28122 + ... + 29442.

It is an arithmetic number, because the mean of its divisors is an integer number (1457505).

Almost surely, 238021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46640160).

38021022 is an abundant number, since it is smaller than the sum of its proper divisors (55259298).

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

38021022 is a wasteful number, since it uses less digits than its factorization.

38021022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38021022 is about 6166.1188765706. The cubic root of 38021022 is about 336.2595252573.

The spelling of 38021022 in words is "thirty-eight million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 117 123 234 246 351 369 533 702 738 1066 1107 1321 1599 2214 2642 3198 3963 4797 7926 9594 11889 14391 17173 23778 28782 34346 35667 51519 54161 71334 103038 108322 154557 162483 309114 324966 463671 487449 704093 927342 974898 1408186 1462347 2112279 2924694 4224558 6336837 12673674 19010511 38021022