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2226692820 = 2235112306707
BaseRepresentation
bin1000010010111000…
…1010001011010100
312202011220201022110
42010232022023110
514030013132240
61004541431020
7106115401542
oct20456121324
95664821273
102226692820
11a42a01300
1252186b470
13296419221
14171a28d92
15d0740c80
hex84b8a2d4

2226692820 has 72 divisors (see below), whose sum is σ = 6853083552. Its totient is φ = 539802560.

The previous prime is 2226692753. The next prime is 2226692837. The reversal of 2226692820 is 282966222.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146094 + ... + 160613.

It is an arithmetic number, because the mean of its divisors is an integer number (95181716).

Almost surely, 22226692820 is an apocalyptic number.

2226692820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226692820 is an abundant number, since it is smaller than the sum of its proper divisors (4626390732).

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

2226692820 is a wasteful number, since it uses less digits than its factorization.

2226692820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306741 (or 306728 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2226692820 is about 47187.8461046910. The cubic root of 2226692820 is about 1305.8303841472.

The spelling of 2226692820 in words is "two billion, two hundred twenty-six million, six hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 306707 613414 920121 1226828 1533535 1840242 3067070 3373777 3680484 4600605 6134140 6747554 9201210 10121331 13495108 16868885 18402420 20242662 33737770 37111547 40485324 50606655 67475540 74223094 101213310 111334641 148446188 185557735 202426620 222669282 371115470 445338564 556673205 742230940 1113346410 2226692820