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2242524403232 = 254183139148153
BaseRepresentation
bin100000101000100000110…
…111101101011000100000
321221101100101022001011222
4200220200313231120200
5243220142221400412
64434111304354212
7321005562630041
oct40504067553040
97841311261158
102242524403232
1179505a621593
12302748a75968
1313361392a909
147a7785028c8
153d4ee885072
hex20a20ded620

2242524403232 has 96 divisors (see below), whose sum is σ = 4610102091840. Its totient is φ = 1072952340480.

The previous prime is 2242524403219. The next prime is 2242524403241. The reversal of 2242524403232 is 2323044252422.

It is a junction number, because it is equal to n+sod(n) for n = 2242524403192 and 2242524403201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15062468 + ... + 15210620.

It is an arithmetic number, because the mean of its divisors is an integer number (48021896790).

Almost surely, 22242524403232 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 2242524403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305051045920).

2242524403232 is an abundant number, since it is smaller than the sum of its proper divisors (2367577688608).

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

2242524403232 is a wasteful number, since it uses less digits than its factorization.

2242524403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148426 (or 148418 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 35.

Adding to 2242524403232 its reverse (2323044252422), we get a palindrome (4565568655654).

The spelling of 2242524403232 in words is "two trillion, two hundred forty-two billion, five hundred twenty-four million, four hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 82 83 139 164 166 278 328 332 556 656 664 1112 1312 1328 2224 2656 3403 4448 5699 6806 11398 11537 13612 22796 23074 27224 45592 46148 54448 91184 92296 108896 148153 182368 184592 296306 369184 473017 592612 946034 1185224 1892068 2370448 3784136 4740896 6074273 7568272 12148546 12296699 15136544 20593267 24297092 24593398 41186534 48594184 49186796 82373068 97188368 98373592 164746136 194376736 196747184 329492272 393494368 504164659 658984544 844323947 1008329318 1688647894 1709241161 2016658636 3377295788 3418482322 4033317272 6754591576 6836964644 8066634544 13509183152 13673929288 16133269088 27018366304 27347858576 54695717152 70078887601 140157775202 280315550404 560631100808 1121262201616 2242524403232