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2194901280 = 25335112131719
BaseRepresentation
bin1000001011010011…
…1000100100100000
312122222002112112000
42002310320210200
513443343320110
61001444204000
7105251232045
oct20264704440
95588075460
102194901280
11a26a67900
12513099600
1328c967970
1416b7111cc
15cca611c0
hex82d38920

2194901280 has 1152 divisors, whose sum is σ = 10135238400. Its totient is φ = 437944320.

The previous prime is 2194901273. The next prime is 2194901287. The reversal of 2194901280 is 821094912.

It is an interprime number because it is at equal distance from previous prime (2194901273) and next prime (2194901287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2194901287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 115521111 + ... + 115521129.

It is an arithmetic number, because the mean of its divisors is an integer number (8797950).

Almost surely, 22194901280 is an apocalyptic number.

2194901280 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 2194901280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067619200).

2194901280 is an abundant number, since it is smaller than the sum of its proper divisors (7940337120).

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

2194901280 is a wasteful number, since it uses less digits than its factorization.

2194901280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2194901280 is about 46849.7735320033. The cubic root of 2194901280 is about 1299.5859194016.

The spelling of 2194901280 in words is "two billion, one hundred ninety-four million, nine hundred one thousand, two hundred eighty".