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2201323020 = 22351323147149
BaseRepresentation
bin1000001100110101…
…1000011000001100
312200102011210111020
42003031120120030
514002014314040
61002233554140
7105356636241
oct20315303014
95612153436
102201323020
11a2a653626
12515275950
132910a5900
1416c5035c8
15cd3cdcd0
hex8335860c

2201323020 has 288 divisors, whose sum is σ = 7083417600. Its totient is φ = 509783040.

The previous prime is 2201323009. The next prime is 2201323057. The reversal of 2201323020 is 203231022.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14773906 + ... + 14774054.

It is an arithmetic number, because the mean of its divisors is an integer number (24595200).

Almost surely, 22201323020 is an apocalyptic number.

2201323020 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 2201323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541708800).

2201323020 is an abundant number, since it is smaller than the sum of its proper divisors (4882094580).

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

2201323020 is a wasteful number, since it uses less digits than its factorization.

2201323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2201323020 is about 46918.2589191031. The cubic root of 2201323020 is about 1300.8521080153.

Adding to 2201323020 its reverse (203231022), we get a palindrome (2404554042).

It can be divided in two parts, 2201 and 323020, that added together give a triangular number (325221 = T806).

The spelling of 2201323020 in words is "two billion, two hundred one million, three hundred twenty-three thousand, twenty".