Search a number
-
+
2202010100 = 225240195479
BaseRepresentation
bin1000001101000000…
…0000000111110100
312200110110200222122
42003100000013310
514002203310400
61002300415112
7105365530343
oct20320000764
95613420878
102202010100
11a2aa82864
12515547498
13291286574
1416c641b5a
15cd4b7685
hex834001f4

2202010100 has 36 divisors (see below), whose sum is σ = 4780423200. Its totient is φ = 880424160.

The previous prime is 2202010079. The next prime is 2202010103. The reversal of 2202010100 is 10102022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202010103) 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, 399161 + ... + 404639.

Almost surely, 22202010100 is an apocalyptic number.

2202010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202010100 is an abundant number, since it is smaller than the sum of its proper divisors (2578413100).

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

2202010100 is a wasteful number, since it uses less digits than its factorization.

2202010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9512 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2202010100 is about 46925.5804439327. The cubic root of 2202010100 is about 1300.9874351927.

Adding to 2202010100 its reverse (10102022), we get a palindrome (2212112122).

The spelling of 2202010100 in words is "two billion, two hundred two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4019 5479 8038 10958 16076 20095 21916 27395 40190 54790 80380 100475 109580 136975 200950 273950 401900 547900 22020101 44040202 88080404 110100505 220201010 440402020 550502525 1101005050 2202010100