Search a number
-
+
2140198300 = 2252235397181
BaseRepresentation
bin111111110010000…
…1101010110011100
312112011011100010201
41333210031112130
513340342321200
6552211513244
7104015246122
oct17744152634
95464140121
102140198300
119a90a4729
124b88b8824
13281523a36
14164351912
15c7d57c6a
hex7f90d59c

2140198300 has 144 divisors (see below), whose sum is σ = 5016053952. Its totient is φ = 790732800.

The previous prime is 2140198297. The next prime is 2140198327. The reversal of 2140198300 is 38910412.

It is a happy number.

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, 11824210 + ... + 11824390.

It is an arithmetic number, because the mean of its divisors is an integer number (34833708).

Almost surely, 22140198300 is an apocalyptic number.

2140198300 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 2140198300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508026976).

2140198300 is an abundant number, since it is smaller than the sum of its proper divisors (2875855652).

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

2140198300 is a wasteful number, since it uses less digits than its factorization.

2140198300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2140198300 is about 46262.2772893856. The cubic root of 2140198300 is about 1288.6985452112.

The spelling of 2140198300 in words is "two billion, one hundred forty million, one hundred ninety-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 97 100 106 115 181 194 212 230 265 362 388 460 485 530 575 724 905 970 1060 1150 1219 1325 1810 1940 2231 2300 2425 2438 2650 3620 4163 4462 4525 4850 4876 5141 5300 6095 8326 8924 9050 9593 9700 10282 11155 12190 16652 17557 18100 19186 20564 20815 22310 24380 25705 30475 35114 38372 41630 44620 47965 51410 55775 60950 70228 83260 87785 95930 102820 104075 111550 118243 121900 128525 175570 191860 208150 220639 223100 236486 239825 257050 351140 403811 416300 438925 441278 472972 479650 514100 591215 807622 877850 882556 930521 959300 1103195 1182430 1615244 1755700 1861042 2019055 2206390 2364860 2956075 3722084 4038110 4412780 4652605 5515975 5912150 8076220 9305210 10095275 11031950 11824300 18610420 20190550 21401983 22063900 23263025 40381100 42803966 46526050 85607932 93052100 107009915 214019830 428039660 535049575 1070099150 2140198300