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229240500 = 22353672281
BaseRepresentation
bin11011010100111…
…10111010110100
3120222100121211220
431222132322310
5432141144000
634425230340
75452340436
oct1552367264
9528317756
10229240500
11108444865
12649323b0
1338654688
1422634656
15151d31a0
hexda9eeb4

229240500 has 96 divisors (see below), whose sum is σ = 677808768. Its totient is φ = 60192000.

The previous prime is 229240489. The next prime is 229240507. The reversal of 229240500 is 5042922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229240507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99360 + ... + 101640.

It is an arithmetic number, because the mean of its divisors is an integer number (7060508).

Almost surely, 2229240500 is an apocalyptic number.

229240500 is a gapful number since it is divisible by the number (20) 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 229240500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338904384).

229240500 is an abundant number, since it is smaller than the sum of its proper divisors (448568268).

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

229240500 is a wasteful number, since it uses less digits than its factorization.

229240500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 229240500 is about 15140.6902088379. The cubic root of 229240500 is about 612.0174180185.

The spelling of 229240500 in words is "two hundred twenty-nine million, two hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 125 134 150 201 250 268 300 335 375 402 500 670 750 804 1005 1340 1500 1675 2010 2281 3350 4020 4562 5025 6700 6843 8375 9124 10050 11405 13686 16750 20100 22810 25125 27372 33500 34215 45620 50250 57025 68430 100500 114050 136860 152827 171075 228100 285125 305654 342150 458481 570250 611308 684300 764135 855375 916962 1140500 1528270 1710750 1833924 2292405 3056540 3421500 3820675 4584810 7641350 9169620 11462025 15282700 19103375 22924050 38206750 45848100 57310125 76413500 114620250 229240500