Search a number
-
+
2120221000 = 23532120221
BaseRepresentation
bin111111001100000…
…0000000101001000
312110202120101102201
41332120000011020
513320234033000
6550215405544
7103353403222
oct17630000510
95422511381
102120221000
1199889a467
124b20838b4
1327a34aa51
14161831412
15c620d96a
hex7e600148

2120221000 has 32 divisors (see below), whose sum is σ = 4961319480. Its totient is φ = 848088000.

The previous prime is 2120220961. The next prime is 2120221007. The reversal of 2120221000 is 1220212.

It can be written as a sum of positive squares in 4 ways, for example, as 79530724 + 2040690276 = 8918^2 + 45174^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2120221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059111 + ... + 1061110.

Almost surely, 22120221000 is an apocalyptic number.

2120221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120221000 is an abundant number, since it is smaller than the sum of its proper divisors (2841098480).

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

2120221000 is a wasteful number, since it uses less digits than its factorization.

2120221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120242 (or 2120228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2120221000 is about 46045.8575769851. The cubic root of 2120221000 is about 1284.6762950917.

Adding to 2120221000 its reverse (1220212), we get a palindrome (2121441212).

The spelling of 2120221000 in words is "two billion, one hundred twenty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2120221 4240442 8480884 10601105 16961768 21202210 42404420 53005525 84808840 106011050 212022100 265027625 424044200 530055250 1060110500 2120221000