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224324064536 = 2311131727741641
BaseRepresentation
bin1101000011101011000…
…0011001010100011000
3210110000112022012011112
43100322300121110120
512133403430031121
6251015243115452
722130650042025
oct3207260312430
9713015265145
10224324064536
11871540a4980
1237585812b88
13181cc7c0780
14ac0079654c
155c7db2975b
hex343ac19518

224324064536 has 128 divisors (see below), whose sum is σ = 525108951360. Its totient is φ = 88263475200.

The previous prime is 224324064533. The next prime is 224324064571. The reversal of 224324064536 is 635460423422.

It is a junction number, because it is equal to n+sod(n) for n = 224324064493 and 224324064502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224324064533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5366276 + ... + 5407916.

Almost surely, 2224324064536 is an apocalyptic number.

224324064536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224324064536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262554475680).

224324064536 is an abundant number, since it is smaller than the sum of its proper divisors (300784886824).

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

224324064536 is a wasteful number, since it uses less digits than its factorization.

224324064536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41965 (or 41961 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 41.

Adding to 224324064536 its reverse (635460423422), we get a palindrome (859784487958).

The spelling of 224324064536 in words is "two hundred twenty-four billion, three hundred twenty-four million, sixty-four thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 277 286 374 442 554 572 748 884 1108 1144 1496 1768 2216 2431 3047 3601 4709 4862 6094 7202 9418 9724 12188 14404 18836 19448 24376 28808 37672 39611 41641 51799 61217 79222 83282 103598 122434 158444 166564 207196 244868 316888 333128 414392 458051 489736 541333 673387 707897 916102 1082666 1346774 1415794 1832204 2165332 2693548 2831588 3664408 4330664 5387096 5663176 5954663 7786867 9202661 11534557 11909326 15573734 18405322 23069114 23818652 31147468 36810644 46138228 47637304 62294936 73621288 92276456 101229271 126880127 149949241 196087469 202458542 253760254 299898482 392174938 404917084 507520508 599796964 784349876 809834168 1015041016 1199593928 1568699752 1649441651 2156962159 2549137097 3298883302 4313924318 5098274194 6597766604 8627848636 10196548388 13195533208 17255697272 20393096776 28040508067 56081016134 112162032268 224324064536