Search a number
-
+
229819893732 = 2233111321144681
BaseRepresentation
bin1101011000001001010…
…1010100011111100100
3210222012112200020112000
43112002111110133210
512231132343044412
6253324445525300
722414102602462
oct3260225243744
9728175606460
10229819893732
118951437a780
123865a273830
13188972a3c00
14b1a2645832
155ea13734dc
hex35825547e4

229819893732 has 144 divisors (see below), whose sum is σ = 703842068160. Its totient is φ = 64285228800.

The previous prime is 229819893679. The next prime is 229819893757. The reversal of 229819893732 is 237398918922.

229819893732 is a `hidden beast` number, since 2 + 298 + 198 + 93 + 73 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 229819893732.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371569 + ... + 773112.

It is an arithmetic number, because the mean of its divisors is an integer number (4887792140).

Almost surely, 2229819893732 is an apocalyptic number.

229819893732 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

229819893732 is an abundant number, since it is smaller than the sum of its proper divisors (474022174428).

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

229819893732 is a wasteful number, since it uses less digits than its factorization.

229819893732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144731 (or 1144710 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 229819893732 in words is "two hundred twenty-nine billion, eight hundred nineteen million, eight hundred ninety-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 169 198 234 286 297 338 351 396 429 468 507 572 594 676 702 858 1014 1188 1287 1404 1521 1716 1859 2028 2574 3042 3718 3861 4563 5148 5577 6084 7436 7722 9126 11154 15444 16731 18252 22308 33462 50193 66924 100386 200772 1144681 2289362 3434043 4578724 6868086 10302129 12591491 13736172 14880853 20604258 25182982 29761706 30906387 37774473 41208516 44642559 50365964 59523412 61812774 75548946 89285118 113323419 123625548 133927677 151097892 163689383 178570236 193451089 226646838 267855354 327378766 339970257 386902178 401783031 453293676 491068149 535710708 580353267 654757532 679940514 773804356 803566062 982136298 1160706534 1359881028 1473204447 1607132124 1741059801 1964272596 2127961979 2321413068 2946408894 3482119602 4255923958 4419613341 5223179403 5892817788 6383885937 6964239204 8511847916 8839226682 10446358806 12767771874 17678453364 19151657811 20892717612 25535543748 38303315622 57454973433 76606631244 114909946866 229819893732