Search a number
-
+
197714900 = 225223314759
BaseRepresentation
bin10111100100011…
…10001111010100
3111210000221212002
423302032033110
5401103334100
631341414432
74620356165
oct1362161724
9453027762
10197714900
11a1672149
125626a418
1331c67186
141c38976c
15125572d5
hexbc8e3d4

197714900 has 144 divisors (see below), whose sum is σ = 479969280. Its totient is φ = 70435200.

The previous prime is 197714863. The next prime is 197714917. The reversal of 197714900 is 9417791.

197714900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 3351071 + ... + 3351129.

It is an arithmetic number, because the mean of its divisors is an integer number (3333120).

Almost surely, 2197714900 is an apocalyptic number.

197714900 is a gapful number since it is divisible by the number (10) 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 197714900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239984640).

197714900 is an abundant number, since it is smaller than the sum of its proper divisors (282254380).

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

197714900 is a wasteful number, since it uses less digits than its factorization.

197714900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The square root of 197714900 is about 14061.1130427146. The cubic root of 197714900 is about 582.5677866921.

The spelling of 197714900 in words is "one hundred ninety-seven million, seven hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 47 50 59 62 92 94 100 115 118 124 155 188 230 235 236 295 310 460 470 575 590 620 713 775 940 1081 1150 1175 1180 1357 1426 1457 1475 1550 1829 2162 2300 2350 2714 2773 2852 2914 2950 3100 3565 3658 4324 4700 5405 5428 5546 5828 5900 6785 7130 7285 7316 9145 10810 11092 13570 13865 14260 14570 17825 18290 21620 27025 27140 27730 29140 33511 33925 35650 36425 36580 42067 45725 54050 55460 63779 67022 67850 69325 71300 72850 84134 85963 91450 108100 127558 134044 135700 138650 145700 167555 168268 171926 182900 210335 255116 277300 318895 335110 343852 420670 429815 637790 670220 837775 841340 859630 1051675 1275580 1594475 1675550 1719260 1977149 2103350 2149075 3188950 3351100 3954298 4206700 4298150 6377900 7908596 8596300 9885745 19771490 39542980 49428725 98857450 197714900