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2080909224 = 2333311272447
BaseRepresentation
bin111110000001000…
…0010011110101000
312101000121010211000
41330002002132220
513230203043344
6542253035000
7102365302512
oct17402023650
95330533730
102080909224
11978689999
124a0a85a60
13272165544
1415a51abb2
15c2a45a69
hex7c0827a8

2080909224 has 128 divisors (see below), whose sum is σ = 6016204800. Its totient is φ = 665703360.

The previous prime is 2080909183. The next prime is 2080909301. The reversal of 2080909224 is 4229090802.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 31 ways as a sum of consecutive naturals, for example, 849169 + ... + 851615.

It is an arithmetic number, because the mean of its divisors is an integer number (47001600).

Almost surely, 22080909224 is an apocalyptic number.

2080909224 is a gapful number since it is divisible by the number (24) 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 2080909224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008102400).

2080909224 is an abundant number, since it is smaller than the sum of its proper divisors (3935295576).

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

2080909224 is a wasteful number, since it uses less digits than its factorization.

2080909224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2610 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2080909224 is about 45616.9839423871. The cubic root of 2080909224 is about 1276.6868303081.

The spelling of 2080909224 in words is "two billion, eighty million, nine hundred nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 127 186 216 248 254 279 372 381 508 558 744 762 837 1016 1116 1143 1524 1674 2232 2286 2447 3048 3348 3429 3937 4572 4894 6696 6858 7341 7874 9144 9788 11811 13716 14682 15748 19576 22023 23622 27432 29364 31496 35433 44046 47244 58728 66069 70866 75857 88092 94488 106299 132138 141732 151714 176184 212598 227571 264276 283464 303428 310769 425196 455142 528552 606856 621538 682713 850392 910284 932307 1243076 1365426 1820568 1864614 2048139 2486152 2730852 2796921 3729228 4096278 5461704 5593842 7458456 8192556 8390763 9633839 11187684 16385112 16781526 19267678 22375368 28901517 33563052 38535356 57803034 67126104 77070712 86704551 115606068 173409102 231212136 260113653 346818204 520227306 693636408 1040454612 2080909224