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24214067000 = 2353415631049
BaseRepresentation
bin10110100011010001…
…010101011100111000
32022111112001001102022
4112203101111130320
5344042300121000
615042423254012
71515022113344
oct264321253470
968445031368
1024214067000
11a2a6233a22
1248392aa308
13238b76a3c6
141259c40624
1596abc8585
hex5a3455738

24214067000 has 128 divisors (see below), whose sum is σ = 58201416000. Its totient is φ = 9423616000.

The previous prime is 24214066997. The next prime is 24214067021. The reversal of 24214067000 is 76041242.

It is a congruent number.

It is an unprimeable number.

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, 23082476 + ... + 23083524.

Almost surely, 224214067000 is an apocalyptic number.

24214067000 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 24214067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29100708000).

24214067000 is an abundant number, since it is smaller than the sum of its proper divisors (33987349000).

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

24214067000 is a wasteful number, since it uses less digits than its factorization.

24214067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 24214067000 in words is "twenty-four billion, two hundred fourteen million, sixty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 563 820 1000 1025 1049 1126 1640 2050 2098 2252 2815 4100 4196 4504 5125 5245 5630 8200 8392 10250 10490 11260 14075 20500 20980 22520 23083 26225 28150 41000 41960 43009 46166 52450 56300 70375 86018 92332 104900 112600 115415 131125 140750 172036 184664 209800 215045 230830 262250 281500 344072 430090 461660 524500 563000 577075 590587 860180 923320 1049000 1075225 1154150 1181174 1720360 2150450 2308300 2362348 2885375 2952935 4300900 4616600 4724696 5376125 5770750 5905870 8601800 10752250 11541500 11811740 14764675 21504500 23083000 23623480 24214067 29529350 43009000 48428134 59058700 73823375 96856268 118117400 121070335 147646750 193712536 242140670 295293500 484281340 590587000 605351675 968562680 1210703350 2421406700 3026758375 4842813400 6053516750 12107033500 24214067000