Search a number
-
+
2223434024 = 237431496197
BaseRepresentation
bin1000010010000110…
…1110100100101000
312201221210011002022
42010201232210220
514023144342044
61004343524012
7106045606640
oct20441564450
95657704068
102223434024
11a41085989
12520759608
13295847b46
1417141b520
15d02ea3ee
hex8486e928

2223434024 has 64 divisors (see below), whose sum is σ = 4908816000. Its totient is φ = 924344064.

The previous prime is 2223434023. The next prime is 2223434027. The reversal of 2223434024 is 4204343222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2223433984 and 2223434002.

It is not an unprimeable number, because it can be changed into a prime (2223434023) 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, 355694 + ... + 361890.

It is an arithmetic number, because the mean of its divisors is an integer number (76700250).

Almost surely, 22223434024 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 2223434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454408000).

2223434024 is an abundant number, since it is smaller than the sum of its proper divisors (2685381976).

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

2223434024 is a wasteful number, since it uses less digits than its factorization.

2223434024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2223434024 is about 47153.3034261652. The cubic root of 2223434024 is about 1305.1930394647.

Adding to 2223434024 its reverse (4204343222), we get a palindrome (6427777246).

The spelling of 2223434024 in words is "two billion, two hundred twenty-three million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 149 172 298 301 344 596 602 1043 1192 1204 2086 2408 4172 6197 6407 8344 12394 12814 24788 25628 43379 44849 49576 51256 86758 89698 173516 179396 266471 347032 358792 532942 923353 1065884 1846706 1865297 2131768 3693412 3730594 6463471 7386824 7461188 12926942 14922376 25853884 39704179 51707768 79408358 158816716 277929253 317633432 555858506 1111717012 2223434024