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2200220022 = 2371113379901
BaseRepresentation
bin1000001100100100…
…1011000101110110
312200100002202110110
42003021023011312
514001224020042
61002154203450
7105344363430
oct20311130566
95610082413
102200220022
11a29a6a960
12514a23586
13290aaa850
1416c2d7650
15cd26209c
hex8324b176

2200220022 has 128 divisors (see below), whose sum is σ = 6068579328. Its totient is φ = 513216000.

The previous prime is 2200220017. The next prime is 2200220027.

2200220022 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2200220017) and next prime (2200220027).

2200220022 is a modest number, since divided by 220022 gives 22 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200220027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217272 + ... + 227172.

It is an arithmetic number, because the mean of its divisors is an integer number (47410776).

Almost surely, 22200220022 is an apocalyptic number.

2200220022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034289664).

2200220022 is an abundant number, since it is smaller than the sum of its proper divisors (3868359306).

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

2200220022 is a wasteful number, since it uses less digits than its factorization.

2200220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2200220022 is about 46906.5029819960. The cubic root of 2200220022 is about 1300.6348027896.

It can be divided in two parts, 22002 and 20022, that added together give a palindrome (42024).

The spelling of 2200220022 in words is "two billion, two hundred million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 9901 10101 10582 15873 17094 19802 20202 29703 31746 37037 59406 69307 74074 108911 111111 128713 138614 207921 217822 222222 257426 326733 366337 386139 415842 653466 732674 762377 772278 900991 1099011 1415843 1524754 1801982 2198022 2287131 2564359 2702973 2831686 4029707 4247529 4574262 4762381 5128718 5405946 7693077 8059414 8495058 9524762 9910901 12089121 14287143 15386154 19821802 24178242 28207949 28574286 29732703 33336667 52386191 56415898 59465406 66673334 84623847 100010001 104772382 157158573 169247694 200020002 314317146 366703337 733406674 1100110011 2200220022