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2222242633744 = 24729695998317
BaseRepresentation
bin100000010101100111111…
…110111001100000010000
321212102222220120101212021
4200111213332321200100
5242402123103234434
64420514551541224
7316360146502540
oct40254776714020
97772886511767
102222242633744
117874a203aa21
122ba82868a814
13131730a69093
14797b2a31320
153cc1400bcb4
hex20567fb9810

2222242633744 has 80 divisors (see below), whose sum is σ = 5091142003200. Its totient is φ = 919407186432.

The previous prime is 2222242633697. The next prime is 2222242633747. The reversal of 2222242633744 is 4473362422222.

It is a self number, because there is not a number n which added to its sum of digits gives 2222242633744.

It is not an unprimeable number, because it can be changed into a prime (2222242633747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22553674 + ... + 22651990.

It is an arithmetic number, because the mean of its divisors is an integer number (63639275040).

Almost surely, 22222242633744 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 2222242633744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545571001600).

2222242633744 is an abundant number, since it is smaller than the sum of its proper divisors (2868899369456).

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

2222242633744 is a wasteful number, since it uses less digits than its factorization.

2222242633744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105320 (or 105314 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 43.

The spelling of 2222242633744 in words is "two trillion, two hundred twenty-two billion, two hundred forty-two million, six hundred thirty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 6959 13918 27836 48713 55672 97426 98317 111344 194852 196634 201811 389704 393268 403622 688219 779408 786536 807244 1376438 1412677 1573072 1614488 2752876 2825354 2851193 3228976 5505752 5650708 5702386 11011504 11301416 11404772 19958351 22602832 22809544 39916702 45619088 79833404 159666808 319333616 684188003 1368376006 2736752012 4789316021 5473504024 9578632042 10947008048 19157264084 19841452087 38314528168 39682904174 76629056336 79365808348 138890164609 158731616696 277780329218 317463233392 555560658436 1111121316872 2222242633744