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2097857250 = 232534122741
BaseRepresentation
bin111110100001010…
…1100001011100010
312102012111012010200
41331002230023202
513244022413000
6544100210030
7102662330616
oct17502541342
95365435120
102097857250
11987205225
124a6699916
1327581a768
1415c88d346
15c4292500
hex7d0ac2e2

2097857250 has 96 divisors (see below), whose sum is σ = 5811217776. Its totient is φ = 545760000.

The previous prime is 2097857231. The next prime is 2097857261. The reversal of 2097857250 is 527587902.

It is a happy number.

2097857250 is a `hidden beast` number, since 2 + 0 + 9 + 78 + 572 + 5 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 245329569 + 1852527681 = 15663^2 + 43041^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2097857196 and 2097857205.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80880 + ... + 103620.

Almost surely, 22097857250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097857250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905608888).

2097857250 is an abundant number, since it is smaller than the sum of its proper divisors (3713360526).

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

2097857250 is a wasteful number, since it uses less digits than its factorization.

2097857250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22805 (or 22792 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 2097857250 is about 45802.3716634849. The cubic root of 2097857250 is about 1280.1434673988.

The spelling of 2097857250 in words is "two billion, ninety-seven million, eight hundred fifty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 125 150 205 225 246 250 369 375 410 450 615 738 750 1025 1125 1230 1845 2050 2250 3075 3690 5125 6150 9225 10250 15375 18450 22741 30750 45482 46125 68223 92250 113705 136446 204669 227410 341115 409338 568525 682230 932381 1023345 1137050 1705575 1864762 2046690 2797143 2842625 3411150 4661905 5116725 5594286 5685250 8391429 8527875 9323810 10233450 13985715 16782858 17055750 23309525 25583625 27971430 41957145 46619050 51167250 69928575 83914290 116547625 139857150 209785725 233095250 349642875 419571450 699285750 1048928625 2097857250