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224222404432 = 241347163714011
BaseRepresentation
bin1101000011010010110…
…0100101111101010000
3210102202110000022201111
43100310230211331100
512133201413420212
6251001212143104
722125303663625
oct3206454457520
9712673008644
10224222404432
118710177a164
1237557767a94
13181b4718470
14abd109234c
155c74c47ea7
hex3434b25f50

224222404432 has 80 divisors (see below), whose sum is σ = 478128897792. Its totient is φ = 101216309760.

The previous prime is 224222404409. The next prime is 224222404433. The reversal of 224222404432 is 234404222422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 224222404394 and 224222404403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224222404433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15996307 + ... + 16010317.

Almost surely, 2224222404432 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 224222404432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239064448896).

224222404432 is an abundant number, since it is smaller than the sum of its proper divisors (253906493360).

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

224222404432 is a wasteful number, since it uses less digits than its factorization.

224222404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15716 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 224222404432 its reverse (234404222422), we get a palindrome (458626626854).

The spelling of 224222404432 in words is "two hundred twenty-four billion, two hundred twenty-two million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1222 1637 2444 3274 4888 6548 9776 13096 14011 21281 26192 28022 42562 56044 76939 85124 112088 153878 170248 182143 224176 307756 340496 364286 615512 658517 728572 1000207 1231024 1317034 1457144 2000414 2634068 2914288 4000828 5268136 8001656 8560721 10536272 16003312 17121442 22936007 34242884 45872014 68485768 91744028 136971536 183488056 298168091 366976112 596336182 1077992329 1192672364 2155984658 2385344728 4311969316 4770689456 8623938632 14013900277 17247877264 28027800554 56055601108 112111202216 224222404432