Search a number
-
+
200000102200 = 23523161528821
BaseRepresentation
bin1011101001000011101…
…1110101111100111000
3201010020100110212200121
42322100323311330320
511234100011232300
6231513452143024
720310121550653
oct2722073657470
9633210425617
10200000102200
1177901930a68
1232917767a74
1315b24356852
14997410a89a
15530849481a
hex2e90ef5f38

200000102200 has 96 divisors (see below), whose sum is σ = 487870024320. Its totient is φ = 76150080000.

The previous prime is 200000102189. The next prime is 200000102201. The reversal of 200000102200 is 2201000002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000102201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113790 + ... + 642610.

It is an arithmetic number, because the mean of its divisors is an integer number (5081979420).

Almost surely, 2200000102200 is an apocalyptic number.

200000102200 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 200000102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243935012160).

200000102200 is an abundant number, since it is smaller than the sum of its proper divisors (287869922120).

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

200000102200 is a wasteful number, since it uses less digits than its factorization.

200000102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528929 (or 528920 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 200000102200 its reverse (2201000002), we get a palindrome (202201102202).

The spelling of 200000102200 in words is "two hundred billion, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 61 62 100 122 124 155 200 244 248 305 310 488 610 620 775 1220 1240 1525 1550 1891 2440 3050 3100 3782 6100 6200 7564 9455 12200 15128 18910 37820 47275 75640 94550 189100 378200 528821 1057642 2115284 2644105 4230568 5288210 10576420 13220525 16393451 21152840 26441050 32258081 32786902 52882100 64516162 65573804 81967255 105764200 129032324 131147608 161290405 163934510 258064648 322580810 327869020 409836275 645161620 655738040 806452025 819672550 1000000511 1290323240 1612904050 1639345100 2000001022 3225808100 3278690200 4000002044 5000002555 6451616200 8000004088 10000005110 20000010220 25000012775 40000020440 50000025550 100000051100 200000102200