[go: up one dir, main page]

Search a number
-
+
22021032 = 2331127583
BaseRepresentation
bin101010000000…
…0001110101000
31112102210011210
41110000032220
521114133112
62103553120
7355114155
oct124001650
945383153
1022021032
1111480800
12745b7a0
1347402c7
142cd322c
151deeb3c
hex15003a8

22021032 has 48 divisors (see below), whose sum is σ = 60520320. Its totient is φ = 6672160.

The previous prime is 22021009. The next prime is 22021049. The reversal of 22021032 is 23012022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22020999 and 22021017.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888 + ... + 6695.

It is an arithmetic number, because the mean of its divisors is an integer number (1260840).

Almost surely, 222021032 is an apocalyptic number.

22021032 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 22021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30260160).

22021032 is an abundant number, since it is smaller than the sum of its proper divisors (38499288).

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

22021032 is a wasteful number, since it uses less digits than its factorization.

22021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22021032 is about 4692.6572429701. The cubic root of 22021032 is about 280.2931962797.

Adding to 22021032 its reverse (23012022), we get a palindrome (45033054).

The spelling of 22021032 in words is "twenty-two million, twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 7583 15166 22749 30332 45498 60664 83413 90996 166826 181992 250239 333652 500478 667304 917543 1000956 1835086 2001912 2752629 3670172 5505258 7340344 11010516 22021032