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229864139100 = 223252376902827
BaseRepresentation
bin1101011000010011111…
…0000110100101011100
3210222022121221010202100
43112010332012211130
512231230204422400
6253333110125100
722415150641641
oct3260476064534
9728277833670
10229864139100
118953734a9a2
1238671050790
13188a34c5bbb
14b1a8481dc8
155ea51b3100
hex3584f8695c

229864139100 has 108 divisors (see below), whose sum is σ = 739969355944. Its totient is φ = 59640416640.

The previous prime is 229864139093. The next prime is 229864139111. The reversal of 229864139100 is 1931468922.

229864139100 is a `hidden beast` number, since 229 + 8 + 6 + 413 + 9 + 1 + 0 + 0 = 666.

229864139100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 3418114 + ... + 3484713.

Almost surely, 2229864139100 is an apocalyptic number.

229864139100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229864139100 is an abundant number, since it is smaller than the sum of its proper divisors (510105216844).

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

229864139100 is a wasteful number, since it uses less digits than its factorization.

229864139100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902884 (or 6902874 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 229864139100 in words is "two hundred twenty-nine billion, eight hundred sixty-four million, one hundred thirty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 6902827 13805654 20708481 27611308 34514135 41416962 62125443 69028270 82833924 103542405 124250886 138056540 172570675 207084810 248501772 255404599 310627215 345141350 414169620 510809198 517712025 621254430 690282700 766213797 1021618396 1035424050 1242508860 1277022995 1532427594 1553136075 2070848100 2298641391 2554045990 3064855188 3106272150 3831068985 4597282782 5108091980 6212544300 6385114975 7662137970 9194565564 11493206955 12770229950 15324275940 19155344925 22986413910 25540459900 38310689850 45972827820 57466034775 76621379700 114932069550 229864139100