Search a number
-
+
21122024 = 23711172017
BaseRepresentation
bin101000010010…
…0101111101000
31110202002222012
41100210233220
520401401044
62032415052
7344351150
oct120445750
943662865
1021122024
1110a17320
1270a7488
1344b7051
142b3b760
151cc359e
hex1424be8

21122024 has 64 divisors (see below), whose sum is σ = 52306560. Its totient is φ = 7741440.

The previous prime is 21122009. The next prime is 21122033. The reversal of 21122024 is 42022112.

It is a super-2 number, since 2×211220242 = 892279795713152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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, 9464 + ... + 11480.

It is an arithmetic number, because the mean of its divisors is an integer number (817290).

Almost surely, 221122024 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 21122024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26153280).

21122024 is an abundant number, since it is smaller than the sum of its proper divisors (31184536).

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

21122024 is a wasteful number, since it uses less digits than its factorization.

21122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 21122024 is about 4595.8703201896. The cubic root of 21122024 is about 276.4257589036.

Adding to 21122024 its reverse (42022112), we get a palindrome (63144136).

The spelling of 21122024 in words is "twenty-one million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2017 2618 4034 5236 8068 10472 14119 16136 22187 28238 34289 44374 56476 68578 88748 112952 137156 155309 177496 240023 274312 310618 377179 480046 621236 754358 960092 1242472 1508716 1920184 2640253 3017432 5280506 10561012 21122024