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2194388840 = 235737321011
BaseRepresentation
bin1000001011001011…
…1011011101101000
312122221010111120202
42002302323131220
513443230420330
61001425211332
7105243666050
oct20262733550
95587114522
102194388840
11a267478a6
12512a90b48
1328c818647
1416b61a560
15cc9ae445
hex82cbb768

2194388840 has 64 divisors (see below), whose sum is σ = 5658111360. Its totient is φ = 750309120.

The previous prime is 2194388701. The next prime is 2194388863. The reversal of 2194388840 is 488834912.

It is a happy number.

2194388840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21943888402 = 9630684762233091200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93935 + ... + 114945.

It is an arithmetic number, because the mean of its divisors is an integer number (88407990).

Almost surely, 22194388840 is an apocalyptic number.

2194388840 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 2194388840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829055680).

2194388840 is an abundant number, since it is smaller than the sum of its proper divisors (3463722520).

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

2194388840 is a wasteful number, since it uses less digits than its factorization.

2194388840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21402 (or 21398 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The square root of 2194388840 is about 46844.3042428853. The cubic root of 2194388840 is about 1299.4847741325.

The spelling of 2194388840 in words is "two billion, one hundred ninety-four million, three hundred eighty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 373 746 1492 1865 2611 2984 3730 5222 7460 10444 13055 14920 20888 21011 26110 42022 52220 84044 104440 105055 147077 168088 210110 294154 420220 588308 735385 840440 1176616 1470770 2941540 5883080 7837103 15674206 31348412 39185515 54859721 62696824 78371030 109719442 156742060 219438884 274298605 313484120 438877768 548597210 1097194420 2194388840