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2157245640 = 2332511544759
BaseRepresentation
bin1000000010010100…
…1111010011001000
312120100020102200200
42000211033103020
513404223330030
6554021132200
7104313166614
oct20045172310
95510212620
102157245640
11a07788640
1250255a060
13284c12214
1416670c344
15c95c3d60
hex8094f4c8

2157245640 has 96 divisors (see below), whose sum is σ = 7648430400. Its totient is φ = 522967680.

The previous prime is 2157245539. The next prime is 2157245659. The reversal of 2157245640 is 465427512.

It is a happy number.

2157245640 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 2 + 4 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2157245595 and 2157245604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268420 + ... + 276339.

It is an arithmetic number, because the mean of its divisors is an integer number (79671150).

Almost surely, 22157245640 is an apocalyptic number.

2157245640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2157245640 is an abundant number, since it is smaller than the sum of its proper divisors (5491184760).

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

2157245640 is a wasteful number, since it uses less digits than its factorization.

2157245640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544787 (or 544780 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2157245640 is about 46446.1585063824. The cubic root of 2157245640 is about 1292.1111276452. Note that the first 4 decimals are identical.

The spelling of 2157245640 in words is "two billion, one hundred fifty-seven million, two hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 544759 1089518 1634277 2179036 2723795 3268554 4358072 4902831 5447590 5992349 6537108 8171385 9805662 10895180 11984698 13074216 16342770 17977047 19611324 21790360 23969396 24514155 29961745 32685540 35954094 39222648 47938792 49028310 53931141 59923490 65371080 71908188 89885235 98056620 107862282 119846980 143816376 179770470 196113240 215724564 239693960 269655705 359540940 431449128 539311410 719081880 1078622820 2157245640