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229394631088 = 2476783973797
BaseRepresentation
bin1101010110100011111…
…1000100100110110000
3210221002220110122211201
43111220333010212300
512224300011143323
6253214335020544
722400420122630
oct3255077044660
9727086418751
10229394631088
118931631a647
123855b96a754
131882a1589cc
14b161d866c0
155e78d6e8ad
hex3568fc49b0

229394631088 has 160 divisors (see below), whose sum is σ = 527255253504. Its totient is φ = 94666530816.

The previous prime is 229394631073. The next prime is 229394631107. The reversal of 229394631088 is 880136493922.

229394631088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60412806 + ... + 60416602.

Almost surely, 2229394631088 is an apocalyptic number.

229394631088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229394631088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263627626752).

229394631088 is an abundant number, since it is smaller than the sum of its proper divisors (297860622416).

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

229394631088 is a wasteful number, since it uses less digits than its factorization.

229394631088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 229394631088 in words is "two hundred twenty-nine billion, three hundred ninety-four million, six hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 67 83 97 112 134 166 194 268 332 388 469 536 581 664 679 776 938 1072 1162 1328 1358 1552 1876 2324 2716 3752 3797 4648 5432 5561 6499 7504 7594 8051 9296 10864 11122 12998 15188 16102 22244 25996 26579 30376 32204 38927 44488 45493 51992 53158 56357 60752 64408 77854 88976 90986 103984 106316 112714 128816 155708 181972 212632 225428 254399 311416 315151 363944 368309 425264 450856 508798 539417 622832 630302 727888 736618 901712 1017596 1078834 1260604 1473236 1780793 2035192 2157668 2206057 2521208 2578163 2946472 3561586 3775919 4070384 4315336 4412114 5042416 5156326 5892944 7123172 7551838 8630672 8824228 10312652 14246344 15103676 17648456 20625304 21115117 24676703 28492688 30207352 30569647 35296912 41250608 42230234 49353406 60414704 61139294 84460468 98706812 122278588 147805819 168920936 172736921 197413624 213987529 244557176 295611638 337841872 345473842 394827248 427975058 489114352 591223276 690947684 855950116 1182446552 1381895368 1711900232 2048166349 2364893104 2763790736 3423800464 4096332698 8192665396 14337164443 16385330792 28674328886 32770661584 57348657772 114697315544 229394631088