Search a number
-
+
2157266250 = 23354411559
BaseRepresentation
bin1000000010010101…
…0100010101001010
312120100021110222000
42000211110111022
513404230010000
6554021411430
7104313313656
oct20045242512
95510243860
102157266250
11a077a2077
12502569b76
13284c1b709
14166715a66
15c95ca000
hex8095454a

2157266250 has 160 divisors (see below), whose sum is σ = 6140534400. Its totient is φ = 560880000.

The previous prime is 2157266249. The next prime is 2157266257. The reversal of 2157266250 is 526627512.

2157266250 is a `hidden beast` number, since 2 + 1 + 5 + 7 + 26 + 625 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2157266257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1382971 + ... + 1384529.

It is an arithmetic number, because the mean of its divisors is an integer number (38378340).

Almost surely, 22157266250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157266250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070267200).

2157266250 is an abundant number, since it is smaller than the sum of its proper divisors (3983268150).

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

2157266250 is a wasteful number, since it uses less digits than its factorization.

2157266250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2157266250 is about 46446.3803756547. The cubic root of 2157266250 is about 1292.1152425105.

The spelling of 2157266250 in words is "two billion, one hundred fifty-seven million, two hundred sixty-six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 41 45 50 54 75 82 90 123 125 135 150 205 225 246 250 270 369 375 410 450 615 625 675 738 750 1025 1107 1125 1230 1250 1350 1559 1845 1875 2050 2214 2250 3075 3118 3375 3690 3750 4677 5125 5535 5625 6150 6750 7795 9225 9354 10250 11070 11250 14031 15375 15590 16875 18450 23385 25625 27675 28062 30750 33750 38975 42093 46125 46770 51250 55350 63919 70155 76875 77950 84186 92250 116925 127838 138375 140310 153750 191757 194875 210465 230625 233850 276750 319595 350775 383514 389750 420930 461250 575271 584625 639190 691875 701550 958785 974375 1052325 1150542 1169250 1383750 1597975 1725813 1753875 1917570 1948750 2104650 2876355 2923125 3195950 3451626 3507750 4793925 5261625 5752710 5846250 7989875 8629065 8769375 9587850 10523250 14381775 15979750 17258130 17538750 23969625 26308125 28763550 39949375 43145325 47939250 52616250 71908875 79898750 86290650 119848125 143817750 215726625 239696250 359544375 431453250 719088750 1078633125 2157266250