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2210202020 = 2251323617383
BaseRepresentation
bin1000001110111101…
…0000000110100100
312201000212220012002
42003233100012210
514011302431040
61003152144432
7105525256445
oct20357200644
95630786162
102210202020
11a34668544
12518238118
13292b94160
1416d7752cc
15ce084a15
hex83bd01a4

2210202020 has 192 divisors, whose sum is σ = 5438651904. Its totient is φ = 748154880.

The previous prime is 2210201989. The next prime is 2210202061. The reversal of 2210202020 is 202020122.

It is a junction number, because it is equal to n+sod(n) for n = 2210201992 and 2210202010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26628899 + ... + 26628981.

It is an arithmetic number, because the mean of its divisors is an integer number (28326312).

Almost surely, 22210202020 is an apocalyptic number.

2210202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719325952).

2210202020 is an abundant number, since it is smaller than the sum of its proper divisors (3228449884).

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

2210202020 is a wasteful number, since it uses less digits than its factorization.

2210202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2210202020 is about 47012.7857077200. The cubic root of 2210202020 is about 1302.5987502541.

Adding to 2210202020 its reverse (202020122), we get a palindrome (2412222142).

The spelling of 2210202020 in words is "two billion, two hundred ten million, two hundred two thousand, twenty".