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2157199360 = 2145171549
BaseRepresentation
bin1000000010010100…
…0100000000000000
312120100011002012121
42000211010000000
513404220334420
6554020134024
7104312614651
oct20045040000
95510132177
102157199360
11a07756898
12502537314
13284bc7134
141666d9528
15c95b52aa
hex80944000

2157199360 has 120 divisors (see below), whose sum is σ = 5485195800. Its totient is φ = 811597824.

The previous prime is 2157199357. The next prime is 2157199367. The reversal of 2157199360 is 639917512.

It can be written as a sum of positive squares in 4 ways, for example, as 307511296 + 1849688064 = 17536^2 + 43008^2 .

It is not an unprimeable number, because it can be changed into a prime (2157199367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1391866 + ... + 1393414.

It is an arithmetic number, because the mean of its divisors is an integer number (45709965).

Almost surely, 22157199360 is an apocalyptic number.

2157199360 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 2157199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742597900).

2157199360 is an abundant number, since it is smaller than the sum of its proper divisors (3327996440).

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

2157199360 is an equidigital number, since it uses as much as digits as its factorization.

2157199360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 2157199360 is about 46445.6602924321. The cubic root of 2157199360 is about 1292.1018875708.

The spelling of 2157199360 in words is "two billion, one hundred fifty-seven million, one hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 1549 2048 2176 2560 2720 3098 4096 4352 5120 5440 6196 7745 8192 8704 10240 10880 12392 15490 16384 17408 20480 21760 24784 26333 30980 34816 40960 43520 49568 52666 61960 69632 81920 87040 99136 105332 123920 131665 139264 174080 198272 210664 247840 263330 278528 348160 396544 421328 495680 526660 696320 793088 842656 991360 1053320 1392640 1586176 1685312 1982720 2106640 3172352 3370624 3965440 4213280 6344704 6741248 7930880 8426560 12689408 13482496 15861760 16853120 25378816 26964992 31723520 33706240 53929984 63447040 67412480 107859968 126894080 134824960 215719936 269649920 431439872 539299840 1078599680 2157199360