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2200103028 = 2232372396911
BaseRepresentation
bin1000001100100010…
…1110100001110100
312200022212210222100
42003020232201310
514001211244103
61002151502100
7105343365354
oct20310564164
95608783870
102200103028
11a2999aa72
12514987930
13290a69516
1416c2a6b64
15cd23c5a3
hex8322e874

2200103028 has 72 divisors (see below), whose sum is σ = 5736407040. Its totient is φ = 710458560.

The previous prime is 2200103023. The next prime is 2200103029. The reversal of 2200103028 is 8203010022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2200103028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200103023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314893 + ... + 321803.

It is an arithmetic number, because the mean of its divisors is an integer number (79672320).

Almost surely, 22200103028 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 2200103028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868203520).

2200103028 is an abundant number, since it is smaller than the sum of its proper divisors (3536304012).

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

2200103028 is a wasteful number, since it uses less digits than its factorization.

2200103028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7197 (or 7192 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2200103028 is about 46905.2558675464. The cubic root of 2200103028 is about 1300.6117491611.

The spelling of 2200103028 in words is "two billion, two hundred million, one hundred three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 239 333 444 478 666 717 956 1332 1434 2151 2868 4302 6911 8604 8843 13822 17686 20733 26529 27644 35372 41466 53058 62199 79587 82932 106116 124398 159174 248796 255707 318348 511414 767121 1022828 1534242 1651729 2301363 3068484 3303458 4602726 4955187 6606916 9205452 9910374 14865561 19820748 29731122 59462244 61113973 122227946 183341919 244455892 366683838 550025757 733367676 1100051514 2200103028