Search a number
-
+
20722152 = 23311531481
BaseRepresentation
bin100111100001…
…1000111101000
31102222210110010
41033003013220
520301102102
62020051520
7341064303
oct117030750
942883403
1020722152
1110773950
126b33ba0
1343a7039
142a75b3a
151c44d6c
hex13c31e8

20722152 has 64 divisors (see below), whose sum is σ = 57620160. Its totient is φ = 6156800.

The previous prime is 20722129. The next prime is 20722171. The reversal of 20722152 is 25122702.

It is a happy number.

It is a super-2 number, since 2×207221522 = 858815167022208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13252 + ... + 14732.

It is an arithmetic number, because the mean of its divisors is an integer number (900315).

Almost surely, 220722152 is an apocalyptic number.

20722152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20722152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28810080).

20722152 is an abundant number, since it is smaller than the sum of its proper divisors (36898008).

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

20722152 is a wasteful number, since it uses less digits than its factorization.

20722152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 20722152 is about 4552.1590481880. The cubic root of 20722152 is about 274.6702471753.

Adding to 20722152 its reverse (25122702), we get a palindrome (45844854).

It can be divided in two parts, 2072 and 2152, that added together give a palindrome (4224).

The spelling of 20722152 in words is "twenty million, seven hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1481 1749 2332 2962 3498 4443 4664 5924 6996 8886 11848 13992 16291 17772 32582 35544 48873 65164 78493 97746 130328 156986 195492 235479 313972 390984 470958 627944 863423 941916 1726846 1883832 2590269 3453692 5180538 6907384 10361076 20722152