Search a number
-
+
221132213300 = 225211931853581
BaseRepresentation
bin1100110111110010000…
…0011100110000110100
3210010210002021100102002
43031330200130300310
512110334321311200
6245330422434432
721655601541215
oct3157440346064
9703702240362
10221132213300
1185866407899
1236a34892a18
1317b11445cbb
14a9ba8cd40c
155b437dabd5
hex337c81cc34

221132213300 has 36 divisors (see below), whose sum is σ = 480259389036. Its totient is φ = 88378694400.

The previous prime is 221132213287. The next prime is 221132213303. The reversal of 221132213300 is 3312231122.

It can be written as a sum of positive squares in 6 ways, for example, as 393863716 + 220738349584 = 19846^2 + 469828^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221132213303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807491 + ... + 1046090.

Almost surely, 2221132213300 is an apocalyptic number.

221132213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221132213300 is an abundant number, since it is smaller than the sum of its proper divisors (259127175736).

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

221132213300 is a wasteful number, since it uses less digits than its factorization.

221132213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854788 (or 1854781 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 221132213300 its reverse (3312231122), we get a palindrome (224444444422).

The spelling of 221132213300 in words is "two hundred twenty-one billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1193 2386 4772 5965 11930 23860 29825 59650 119300 1853581 3707162 7414324 9267905 18535810 37071620 46339525 92679050 185358100 2211322133 4422644266 8845288532 11056610665 22113221330 44226442660 55283053325 110566106650 221132213300