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2224224224222 = 271121310129901
BaseRepresentation
bin100000010111011110000…
…110000100001111011110
321212122010000021121222012
4200113132012010033132
5242420202400133342
64421443340151222
7316460230651340
oct40273606041736
97778100247865
102224224224222
11788319653200
122bb0a0238512
13131988468c20
147991dc97290
153cccce84b82
hex205de1843de

2224224224222 has 144 divisors (see below), whose sum is σ = 4559083434528. Its totient is φ = 791920800000.

The previous prime is 2224224224221. The next prime is 2224224224231.

2224224224222 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224224224221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 224641472 + ... + 224651372.

Almost surely, 22224224224222 is an apocalyptic number.

2224224224222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2224224224222 is an abundant number, since it is smaller than the sum of its proper divisors (2334859210306).

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

2224224224222 is a wasteful number, since it uses less digits than its factorization.

2224224224222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10147 (or 10035 counting only the distinct ones).

The product of its digits is 65536, while the sum is 32.

The spelling of 2224224224222 in words is "two trillion, two hundred twenty-four billion, two hundred twenty-four million, two hundred twenty-four thousand, two hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 101 121 143 154 182 202 242 286 707 847 1001 1111 1313 1414 1573 1694 2002 2222 2626 3146 7777 9191 9901 10201 11011 12221 14443 15554 18382 19802 20402 22022 24442 28886 69307 71407 85547 101101 108911 112211 128713 132613 138614 142814 158873 171094 202202 217822 224422 257426 265226 317746 762377 785477 900991 928291 1000001 1112111 1198021 1234321 1415843 1458743 1524754 1570954 1801982 1856582 2000002 2224222 2396042 2468642 2831686 2917486 7000007 8386147 8640247 9910901 10211201 11000011 13000013 14000014 15574273 16046173 16772294 17280494 19821802 20422402 22000022 26000026 31148546 32092346 77000077 91000091 101000101 109019911 112323211 121000121 143000143 154000154 182000182 202000202 218039822 224646422 242000242 286000286 707000707 847000847 1001001001 1111001111 1313001313 1414001414 1573001573 1694001694 2002002002 2222002222 2626002626 3146003146 7777007777 9191009191 11011011011 12221012221 14443014443 15554015554 18382018382 22022022022 24442024442 28886028886 85547085547 101101101101 158873158873 171094171094 202202202202 317746317746 1112112112111 2224224224222