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2226116466 = 233718132537
BaseRepresentation
bin1000010010101111…
…1101011101110010
312202010211102201000
42010223331131302
514024341211331
61004521222430
7106110451320
oct20453753562
95663742630
102226116466
11a42648282
12521631a16
13296276aa2
14171918d10
15d067a0e6
hex84afd772

2226116466 has 64 divisors (see below), whose sum is σ = 5685039360. Its totient is φ = 632499840.

The previous prime is 2226116429. The next prime is 2226116467. The reversal of 2226116466 is 6646116222.

2226116466 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 1 + 1 + 646 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2226116466.

It is not an unprimeable number, because it can be changed into a prime (2226116467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52150 + ... + 84686.

It is an arithmetic number, because the mean of its divisors is an integer number (88828740).

Almost surely, 22226116466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226116466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842519680).

2226116466 is an abundant number, since it is smaller than the sum of its proper divisors (3458922894).

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

2226116466 is a wasteful number, since it uses less digits than its factorization.

2226116466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32736 (or 32730 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2226116466 is about 47181.7386919982. The cubic root of 2226116466 is about 1305.7177079990.

The spelling of 2226116466 in words is "two billion, two hundred twenty-six million, one hundred sixteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 181 189 362 378 543 1086 1267 1629 2534 3258 3801 4887 7602 9774 11403 22806 32537 34209 65074 68418 97611 195222 227759 292833 455518 585666 683277 878499 1366554 1756998 2049831 4099662 5889197 6149493 11778394 12298986 17667591 35335182 41224379 53002773 82448758 106005546 123673137 159008319 247346274 318016638 371019411 742038822 1113058233 2226116466