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2202010020 = 2232572298609
BaseRepresentation
bin1000001101000000…
…0000000110100100
312200110110200212200
42003100000012210
514002203310040
61002300414500
7105365530200
oct20320000644
95613420780
102202010020
11a2aa827a1
12515547430
13291286512
1416c641b00
15cd4b7630
hex834001a4

2202010020 has 216 divisors, whose sum is σ = 8038812600. Its totient is φ = 485904384.

The previous prime is 2202009989. The next prime is 2202010039. The reversal of 2202010020 is 200102022.

It can be written as a sum of positive squares in 4 ways, for example, as 83064996 + 2118945024 = 9114^2 + 46032^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2202009984 and 2202010011.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251476 + ... + 260084.

It is an arithmetic number, because the mean of its divisors is an integer number (37216725).

Almost surely, 22202010020 is an apocalyptic number.

2202010020 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 2202010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019406300).

2202010020 is an abundant number, since it is smaller than the sum of its proper divisors (5836802580).

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

2202010020 is a wasteful number, since it uses less digits than its factorization.

2202010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2202010020 is about 46925.5795915192. The cubic root of 2202010020 is about 1300.9874194376.

Adding to 2202010020 its reverse (200102022), we get a palindrome (2402112042).

The spelling of 2202010020 in words is "two billion, two hundred two million, ten thousand, twenty".