[go: up one dir, main page]

Search a number
-
+
22328244 = 2233792617
BaseRepresentation
bin101010100101…
…1001110110100
31120000101121000
41111023032310
521204000434
62114323300
7360533631
oct125131664
946011530
1022328244
11116705a4
127589530
13481a0a3
142d73188
151e60b99
hex154b3b4

22328244 has 48 divisors (see below), whose sum is σ = 58643200. Its totient is φ = 7345728.

The previous prime is 22328227. The next prime is 22328261. The reversal of 22328244 is 44282322.

22328244 = T712 + T713 + ... + T790.

It is an interprime number because it is at equal distance from previous prime (22328227) and next prime (22328261).

It is a super-3 number, since 3×223282443 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7224 + ... + 9840.

Almost surely, 222328244 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 22328244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29321600).

22328244 is an abundant number, since it is smaller than the sum of its proper divisors (36314956).

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

22328244 is a wasteful number, since it uses less digits than its factorization.

22328244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2701 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 22328244 is about 4725.2771347298. The cubic root of 22328244 is about 281.5906237462.

The spelling of 22328244 in words is "twenty-two million, three hundred twenty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2617 2844 4266 5234 7851 8532 10468 15702 23553 31404 47106 70659 94212 141318 206743 282636 413486 620229 826972 1240458 1860687 2480916 3721374 5582061 7442748 11164122 22328244