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1922139960 = 2335131916451
BaseRepresentation
bin111001010010001…
…1000011100111000
311221221211211022220
41302210120130320
512414031434320
6514422044040
765426630406
oct16244303470
94857754286
101922139960
118a6aa8224
12457879620
132482b6030
141433cc476
15b3b32e40
hex72918738

1922139960 has 128 divisors (see below), whose sum is σ = 6243471360. Its totient is φ = 470592000.

The previous prime is 1922139953. The next prime is 1922139977. The reversal of 1922139960 is 699312291.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294735 + ... + 301185.

It is an arithmetic number, because the mean of its divisors is an integer number (48777120).

Almost surely, 21922139960 is an apocalyptic number.

1922139960 is a gapful number since it is divisible by the number (10) 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 1922139960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121735680).

1922139960 is an abundant number, since it is smaller than the sum of its proper divisors (4321331400).

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

1922139960 is a wasteful number, since it uses less digits than its factorization.

1922139960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6669 (or 6665 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 1922139960 is about 43842.2166410413. The cubic root of 1922139960 is about 1243.3545915780.

The spelling of 1922139960 in words is "one billion, nine hundred twenty-two million, one hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 191 195 260 312 382 390 520 573 764 780 955 1146 1528 1560 1910 2292 2483 2865 3820 4584 4966 5730 6451 7449 7640 9932 11460 12415 12902 14898 19353 19864 22920 24830 25804 29796 32255 37245 38706 49660 51608 59592 64510 74490 77412 83863 96765 99320 129020 148980 154824 167726 193530 251589 258040 297960 335452 387060 419315 503178 670904 774120 838630 1006356 1232141 1257945 1677260 2012712 2464282 2515890 3354520 3696423 4928564 5031780 6160705 7392846 9857128 10063560 12321410 14785692 16017833 18482115 24642820 29571384 32035666 36964230 48053499 49285640 64071332 73928460 80089165 96106998 128142664 147856920 160178330 192213996 240267495 320356660 384427992 480534990 640713320 961069980 1922139960