Search a number
-
+
2123210220 = 223537956401
BaseRepresentation
bin111111010001101…
…1001110111101100
312110222012020212120
41332203121313230
513322020211340
6550403432540
7103420663155
oct17643316754
95428166776
102123210220
1199a55129a
124b3085750
1327ab56511
14161dac92c
15c65ee4d0
hex7e8d9dec

2123210220 has 48 divisors (see below), whose sum is σ = 6105670368. Its totient is φ = 550886400.

The previous prime is 2123210213. The next prime is 2123210227. The reversal of 2123210220 is 220123212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2123210213) and next prime (2123210227).

It is a super-3 number, since 3×21232102203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2123210220.

It is not an unprimeable number, because it can be changed into a prime (2123210227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475981 + ... + 480420.

It is an arithmetic number, because the mean of its divisors is an integer number (127201466).

Almost surely, 22123210220 is an apocalyptic number.

2123210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123210220 is an abundant number, since it is smaller than the sum of its proper divisors (3982460148).

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

2123210220 is a wasteful number, since it uses less digits than its factorization.

2123210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956450 (or 956448 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2123210220 is about 46078.3053073787. The cubic root of 2123210220 is about 1285.2797505457.

Adding to 2123210220 its reverse (220123212), we get a palindrome (2343333432).

The spelling of 2123210220 in words is "two billion, one hundred twenty-three million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 956401 1912802 2869203 3825604 4782005 5738406 9564010 11476812 14346015 19128020 28692030 35386837 57384060 70773674 106160511 141547348 176934185 212321022 353868370 424642044 530802555 707736740 1061605110 2123210220