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2200301012 = 2271331227859
BaseRepresentation
bin1000001100100101…
…1110110111010100
312200100020212120002
42003021132313110
514001234113022
61002200030432
7105345151520
oct20311366724
95610225502
102200301012
11a2a015798
12514a62418
13290b08680
1416c318d80
15cd27b092
hex8325edd4

2200301012 has 96 divisors (see below), whose sum is σ = 4919255040. Its totient is φ = 837682560.

The previous prime is 2200301009. The next prime is 2200301017. The reversal of 2200301012 is 2101030022.

It is a happy number.

2200301012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2200300984 and 2200301002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200301017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2561039 + ... + 2561897.

It is an arithmetic number, because the mean of its divisors is an integer number (51242240).

Almost surely, 22200301012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200301012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459627520).

2200301012 is an abundant number, since it is smaller than the sum of its proper divisors (2718954028).

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

2200301012 is a wasteful number, since it uses less digits than its factorization.

2200301012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2200301012 is about 46907.3662871835. The cubic root of 2200301012 is about 1300.6507613633.

Adding to 2200301012 its reverse (2101030022), we get a palindrome (4301331034).

The spelling of 2200301012 in words is "two billion, two hundred million, three hundred one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 227 364 403 434 454 806 859 868 908 1589 1612 1718 2821 2951 3178 3436 5642 5902 6013 6356 7037 11167 11284 11804 12026 14074 20657 22334 24052 26629 28148 41314 44668 49259 53258 78169 82628 91481 98518 106516 156338 182962 186403 194993 197036 312676 346177 365924 372806 389986 640367 692354 745612 779972 1280734 1364951 1384708 2423239 2534909 2561468 2729902 4846478 5069818 5459804 6044783 9692956 10139636 12089566 17744363 24179132 35488726 42313481 70977452 78582179 84626962 157164358 169253924 314328716 550075253 1100150506 2200301012