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224534502272 = 27231031814091
BaseRepresentation
bin1101000100011101001…
…1001001101110000000
3210110120012021112110202
43101013103021232000
512134321313033042
6251052201344332
722136113531103
oct3210723115600
9713505245422
10224534502272
1187251966963
12376241980a8
1318234290942
14ac206d473a
155c92346632
hex34474c9b80

224534502272 has 128 divisors (see below), whose sum is σ = 474014661120. Its totient is φ = 105730099200.

The previous prime is 224534502263. The next prime is 224534502281. The reversal of 224534502272 is 272205435422.

It is an interprime number because it is at equal distance from previous prime (224534502263) and next prime (224534502281).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 54882947 + ... + 54887037.

It is an arithmetic number, because the mean of its divisors is an integer number (3703239540).

Almost surely, 2224534502272 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 224534502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237007330560).

224534502272 is an abundant number, since it is smaller than the sum of its proper divisors (249480158848).

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

224534502272 is a wasteful number, since it uses less digits than its factorization.

224534502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 38.

Adding to 224534502272 its reverse (272205435422), we get a palindrome (496739937694).

The spelling of 224534502272 in words is "two hundred twenty-four billion, five hundred thirty-four million, five hundred two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 103 128 181 184 206 362 368 412 724 736 824 1448 1472 1648 2369 2896 2944 3296 4091 4163 4738 5792 6592 8182 8326 9476 11584 13184 16364 16652 18643 18952 23168 32728 33304 37286 37904 65456 66608 74572 75808 94093 130912 133216 149144 151616 188186 261824 266432 298288 303232 376372 421373 428789 523648 532864 596576 740471 752744 842746 857578 1193152 1480942 1505488 1685492 1715156 2386304 2961884 3010976 3370984 3430312 5923768 6021952 6741968 6860624 9691579 11847536 12043904 13483936 13721248 17030833 19383158 23695072 26967872 27442496 34061666 38766316 47390144 53935744 54884992 68123332 76268513 77532632 94780288 136246664 152537026 155065264 272493328 305074052 310130528 544986656 610148104 620261056 1089973312 1220296208 1240522112 1754175799 2179946624 2440592416 3508351598 4881184832 7016703196 9762369664 14033406392 28066812784 56133625568 112267251136 224534502272