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2157316700 = 2252711503557
BaseRepresentation
bin1000000010010110…
…0000101001011100
312120100101001011112
42000211200221130
513404233113300
6554022441152
7104313614030
oct20045405134
95510331145
102157316700
11a07826a70
125025931b8
13284c38676
1416672a1c0
15c95d9e35
hex80960a5c

2157316700 has 144 divisors (see below), whose sum is σ = 5858625024. Its totient is φ = 669868800.

The previous prime is 2157316607. The next prime is 2157316703. The reversal of 2157316700 is 76137512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157316703) 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 47 ways as a sum of consecutive naturals, for example, 3872822 + ... + 3873378.

It is an arithmetic number, because the mean of its divisors is an integer number (40684896).

Almost surely, 22157316700 is an apocalyptic number.

2157316700 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 2157316700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929312512).

2157316700 is an abundant number, since it is smaller than the sum of its proper divisors (3701308324).

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

2157316700 is a wasteful number, since it uses less digits than its factorization.

2157316700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 2157316700 is about 46446.9234718512. The cubic root of 2157316700 is about 1292.1253149352.

The spelling of 2157316700 in words is "two billion, one hundred fifty-seven million, three hundred sixteen thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 503 550 557 700 770 1006 1100 1114 1540 1925 2012 2228 2515 2785 3521 3850 3899 5030 5533 5570 6127 7042 7700 7798 10060 11066 11140 12254 12575 13925 14084 15596 17605 19495 22132 24508 25150 27665 27850 30635 35210 38731 38990 42889 50300 55330 55700 61270 70420 77462 77980 85778 88025 97475 110660 122540 138325 153175 154924 171556 176050 193655 194950 214445 276650 280171 306350 352100 387310 389900 428890 553300 560342 612700 774620 857780 968275 1072225 1120684 1400855 1936550 1961197 2144450 2801710 3081881 3873100 3922394 4288900 5603420 6163762 7004275 7844788 9805985 12327524 14008550 15409405 19611970 21573167 28017100 30818810 39223940 43146334 49029925 61637620 77047025 86292668 98059850 107865835 154094050 196119700 215731670 308188100 431463340 539329175 1078658350 2157316700