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2241242045224 = 237313292166523
BaseRepresentation
bin100000100111010100011…
…011111001101100101000
321221021001000022111200221
4200213110123321230220
5243210030430421344
64433340135135424
7320632032025000
oct40472433715450
97837030274627
102241242045224
11794561783a86
1230244b514574
1313346b05b9b0
147a696095000
153d476ecc184
hex209d46f9b28

2241242045224 has 128 divisors (see below), whose sum is σ = 5459640480000. Its totient is φ = 856070836992.

The previous prime is 2241242045149. The next prime is 2241242045233. The reversal of 2241242045224 is 4225402421422.

It is a super-2 number, since 2×22412420452242 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2241242045224.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48774 + ... + 2117749.

It is an arithmetic number, because the mean of its divisors is an integer number (42653441250).

Almost surely, 22241242045224 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 2241242045224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729820240000).

2241242045224 is an abundant number, since it is smaller than the sum of its proper divisors (3218398434776).

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

2241242045224 is a wasteful number, since it uses less digits than its factorization.

2241242045224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166592 (or 2166574 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 34.

Adding to 2241242045224 its reverse (4225402421422), we get a palindrome (6466644466646).

The spelling of 2241242045224 in words is "two trillion, two hundred forty-one billion, two hundred forty-two million, forty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 49 52 56 58 91 98 104 116 182 196 203 232 343 364 377 392 406 637 686 728 754 812 1274 1372 1421 1508 1624 2548 2639 2744 2842 3016 4459 5096 5278 5684 8918 9947 10556 11368 17836 18473 19894 21112 35672 36946 39788 73892 79576 129311 147784 258622 517244 1034488 2166523 4333046 8666092 15165661 17332184 28164799 30331322 56329598 60662644 62829167 106159627 112659196 121325288 125658334 197153593 212319254 225318392 251316668 394307186 424638508 439804169 502633336 743117389 788614372 816779171 849277016 879608338 1380075151 1486234778 1577228744 1633558342 1759216676 2760150302 2972469556 3078629183 3267116684 3518433352 5520300604 5717454197 5944939112 6157258366 6534233368 9660526057 11040601208 11434908394 12314516732 19321052114 21550404281 22869816788 24629033464 38642104228 40022179379 43100808562 45739633576 77284208456 80044358758 86201617124 160088717516 172403234248 280155255653 320177435032 560310511306 1120621022612 2241242045224