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2000022200022 = 2371131909115361
BaseRepresentation
bin11101000110101010100…
…111001101111011010110
321002012101222121201200010
4131012222213031323112
5230232021140400042
64130444132501050
7264332262126120
oct35065247157326
97065358551603
102000022200022
11701228434010
1228374b47a786
131167a8037c92
146cb317cc210
1537059e1559c
hex1d1aa9cded6

2000022200022 has 128 divisors (see below), whose sum is σ = 5148842950656. Its totient is φ = 502640640000.

The previous prime is 2000022200017. The next prime is 2000022200153. The reversal of 2000022200022 is 2200022200002.

It is a junction number, because it is equal to n+sod(n) for n = 2000022199980 and 2000022200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130193622 + ... + 130208982.

It is an arithmetic number, because the mean of its divisors is an integer number (40225335552).

Almost surely, 22000022200022 is an apocalyptic number.

2000022200022 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 2000022200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574421475328).

2000022200022 is an abundant number, since it is smaller than the sum of its proper divisors (3148820750634).

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

2000022200022 is a wasteful number, since it uses less digits than its factorization.

2000022200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24506.

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

Adding to 2000022200022 its reverse (2200022200002), we get a palindrome (4200044400024).

It can be divided in two parts, 200002 and 2200022, that multiplied together give a palindrome (440008800044).

The spelling of 2000022200022 in words is "two trillion, twenty-two million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 1023 1302 2046 2387 4774 7161 9091 14322 15361 18182 27273 30722 46083 54546 63637 92166 100001 107527 127274 168971 190911 200002 215054 281821 300003 322581 337942 381822 476191 506913 563642 600006 645162 700007 845463 952382 1013826 1182797 1400014 1428573 1690926 1972747 2100021 2365594 2857146 3100031 3333337 3548391 3945494 4200042 5238101 5918241 6200062 6666674 7096782 9300093 10000011 10476202 11836482 15714303 18600186 20000022 21700217 31428606 36666707 43400434 65100651 73333414 110000121 130201302 139646851 220000242 279293702 418940553 837881106 977527957 1536115361 1955055914 2932583871 3072230722 4329052381 4608346083 5865167742 8658104762 9216692166 10752807527 12987157143 21505615054 25974314286 30303366667 32258422581 47619576191 60606733334 64516845162 90910100001 95239152382 142858728573 181820200002 285717457146 333337033337 666674066674 1000011100011 2000022200022