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2201010000 = 24354747223
BaseRepresentation
bin1000001100110000…
…1011111101010000
312200101120220002220
42003030023331100
514001424310000
61002223141040
7105354163530
oct20314137520
95611526086
102201010000
11a2a45a432
12515144780
13290cc62a7
1416c4614c0
15cd36b1a0
hex8330bf50

2201010000 has 400 divisors, whose sum is σ = 8330133504. Its totient is φ = 490176000.

The previous prime is 2201009981. The next prime is 2201010017. The reversal of 2201010000 is 101022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9869889 + ... + 9870111.

Almost surely, 22201010000 is an apocalyptic number.

2201010000 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 2201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165066752).

2201010000 is an abundant number, since it is smaller than the sum of its proper divisors (6129123504).

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

2201010000 is a wasteful number, since it uses less digits than its factorization.

2201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2201010000 is about 46914.9229989776. The cubic root of 2201010000 is about 1300.7904463048.

Adding to 2201010000 its reverse (101022), we get a palindrome (2201111022).

The spelling of 2201010000 in words is "two billion, two hundred one million, ten thousand".