Search a number
-
+
21380202 = 23223431201
BaseRepresentation
bin101000110001…
…1110001101010
31111020020010100
41101203301222
520433131302
62042130230
7346504644
oct121436152
944206110
1021380202
1111083298
1271b0976
13457770c
142ba7894
151d24d1c
hex1463c6a

21380202 has 48 divisors (see below), whose sum is σ = 49503168. Its totient is φ = 6652800.

The previous prime is 21380201. The next prime is 21380207. The reversal of 21380202 is 20208312.

It is a happy number.

It is a super-2 number, since 2×213802022 = 914226075121608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21380201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17202 + ... + 18402.

It is an arithmetic number, because the mean of its divisors is an integer number (1031316).

Almost surely, 221380202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21380202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24751584).

21380202 is an abundant number, since it is smaller than the sum of its proper divisors (28122966).

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

21380202 is a wasteful number, since it uses less digits than its factorization.

21380202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1272 counting only the distinct ones).

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

The square root of 21380202 is about 4623.8730518906. The cubic root of 21380202 is about 277.5474669228.

Adding to 21380202 its reverse (20208312), we get a palindrome (41588514).

The spelling of 21380202 in words is "twenty-one million, three hundred eighty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 43 46 69 86 129 138 207 258 387 414 774 989 1201 1978 2402 2967 3603 5934 7206 8901 10809 17802 21618 27623 51643 55246 82869 103286 154929 165738 248607 309858 464787 497214 929574 1187789 2375578 3563367 7126734 10690101 21380202