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2220002172072 = 2332139502144179
BaseRepresentation
bin100000010011100010011…
…100001101110010101000
321212020012202202011020100
4200103202130031302220
5242333031024001242
64415504355025400
7316250503053366
oct40234234156250
97766182664210
102220002172072
11786552394a03
122ba30229b260
1313146483ba09
147963d260636
153cb3249b54c
hex204e270dca8

2220002172072 has 96 divisors (see below), whose sum is σ = 6057104508000. Its totient is φ = 734514030720.

The previous prime is 2220002172067. The next prime is 2220002172097. The reversal of 2220002172072 is 2702712000222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50228079 + ... + 50272257.

It is an arithmetic number, because the mean of its divisors is an integer number (63094838625).

Almost surely, 22220002172072 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 2220002172072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028552254000).

2220002172072 is an abundant number, since it is smaller than the sum of its proper divisors (3837102335928).

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

2220002172072 is a wasteful number, since it uses less digits than its factorization.

2220002172072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49351 (or 49344 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 2220002172072 its reverse (2702712000222), we get a palindrome (4922714172294).

The spelling of 2220002172072 in words is "two trillion, two hundred twenty billion, two million, one hundred seventy-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 5021 10008 10042 15063 20084 30126 40168 44179 45189 60252 88358 90378 120504 132537 176716 180756 265074 353432 361512 397611 530148 697919 795222 1060296 1395838 1590444 2093757 2791676 3180888 4187514 5583352 6140881 6281271 8375028 12281762 12562542 16750056 18422643 24563524 25125084 36845286 49127048 50250168 55267929 73690572 110535858 147381144 221071716 221822759 442143432 443645518 665468277 887291036 1330936554 1774582072 1996404831 2661873108 3992809662 5323746216 7985619324 15971238648 30833363501 61666727002 92500090503 123333454004 185000181006 246666908008 277500271509 370000362012 555000543018 740000724024 1110001086036 2220002172072