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224234413332 = 223193147336703
BaseRepresentation
bin1101000011010101101…
…0011001110100010100
3210102210021121102211120
43100311122121310110
512133213002211312
6251002321403540
722125511031166
oct3206532316424
9712707542746
10224234413332
1187108531676
123755b7995b0
13181b7061517
14abd28da936
155c75d1b28c
hex3435699d14

224234413332 has 96 divisors (see below), whose sum is σ = 568722309120. Its totient is φ = 68501946240.

The previous prime is 224234413309. The next prime is 224234413339. The reversal of 224234413332 is 233314432422.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 224234413293 and 224234413302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224234413339) 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, 33449493 + ... + 33456195.

It is an arithmetic number, because the mean of its divisors is an integer number (5924190720).

Almost surely, 2224234413332 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 224234413332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284361154560).

224234413332 is an abundant number, since it is smaller than the sum of its proper divisors (344487895788).

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

224234413332 is a wasteful number, since it uses less digits than its factorization.

224234413332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11493 (or 11491 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

Adding to 224234413332 its reverse (233314432422), we get a palindrome (457548845754).

The spelling of 224234413332 in words is "two hundred twenty-four billion, two hundred thirty-four million, four hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 4733 6703 7068 9466 13406 14199 18932 20109 26812 28398 40218 56796 80436 89927 127357 146723 179854 207793 254714 269781 293446 359708 382071 415586 440169 509428 539562 586892 623379 764142 831172 880338 1079124 1246758 1528284 1760676 2493516 2787737 3948067 5575474 7896134 8363211 11150948 11844201 15792268 16726422 23688402 31725299 33452844 47376804 63450598 95175897 126901196 190351794 380703588 602780681 983484269 1205561362 1808342043 1966968538 2411122724 2950452807 3616684086 3933937076 5900905614 7233368172 11801811228 18686201111 37372402222 56058603333 74744804444 112117206666 224234413332