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2200212072 = 233413125919
BaseRepresentation
bin1000001100100100…
…1001001001101000
312200100002100120000
42003021021021220
514001223241242
61002154103000
7105344331312
oct20311111150
95610070500
102200212072
11a29a64993
12514a1aa60
13290aa7046
1416c2d47b2
15cd25ea4c
hex83249268

2200212072 has 80 divisors (see below), whose sum is σ = 6209913600. Its totient is φ = 727777440.

The previous prime is 2200212061. The next prime is 2200212101. The reversal of 2200212072 is 2702120022.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71929 + ... + 97847.

It is an arithmetic number, because the mean of its divisors is an integer number (77623920).

Almost surely, 22200212072 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 2200212072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104956800).

2200212072 is an abundant number, since it is smaller than the sum of its proper divisors (4009701528).

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

2200212072 is a wasteful number, since it uses less digits than its factorization.

2200212072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26068 (or 26055 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2200212072 is about 46906.4182388722. The cubic root of 2200212072 is about 1300.6332362707.

Adding to 2200212072 its reverse (2702120022), we get a palindrome (4902332094).

The spelling of 2200212072 in words is "two billion, two hundred million, two hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 262 324 393 524 648 786 1048 1179 1572 2358 3144 3537 4716 7074 9432 10611 14148 21222 25919 28296 42444 51838 77757 84888 103676 155514 207352 233271 311028 466542 622056 699813 933084 1399626 1866168 2099439 2799252 3395389 4198878 5598504 6790778 8397756 10186167 13581556 16795512 20372334 27163112 30558501 40744668 61117002 81489336 91675503 122234004 183351006 244468008 275026509 366702012 550053018 733404024 1100106036 2200212072