Search a number
-
+
224268329688 = 233133123187379
BaseRepresentation
bin1101000011011101101…
…1110010001011011000
3210102212122102120022220
43100313123302023120
512133300143022223
6251005532344040
722126402230534
oct3206733621330
9712778376286
10224268329688
1187125697517
123756b015020
13181c10a7c80
14abd7208bc4
155c78cba6e3
hex34376f22d8

224268329688 has 64 divisors (see below), whose sum is σ = 623276774400. Its totient is φ = 66779648640.

The previous prime is 224268329687. The next prime is 224268329723. The reversal of 224268329688 is 886923862422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224268329687) 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, 11584018 + ... + 11603361.

It is an arithmetic number, because the mean of its divisors is an integer number (9738699600).

Almost surely, 2224268329688 is an apocalyptic number.

It is an amenable number.

224268329688 is an abundant number, since it is smaller than the sum of its proper divisors (399008444712).

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

224268329688 is a wasteful number, since it uses less digits than its factorization.

224268329688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23187432 (or 23187428 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 60.

The spelling of 224268329688 in words is "two hundred twenty-four billion, two hundred sixty-eight million, three hundred twenty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 23187379 46374758 69562137 92749516 139124274 185499032 278248548 301435927 556497096 602871854 718808749 904307781 1205743708 1437617498 1808615562 2156426247 2411487416 2875234996 3617231124 4312852494 5750469992 7234462248 8625704988 9344513737 17251409976 18689027474 28033541211 37378054948 56067082422 74756109896 112134164844 224268329688