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23014344300 = 22352476072689
BaseRepresentation
bin10101011011110000…
…110000011001101100
32012101220112211021020
4111123300300121230
5334113133004200
614323405134140
71443213461463
oct253360603154
965356484236
1023014344300
11983aaa7562
12456355a350
13222a04220c
1411847839da
158ea6e4ea0
hex55bc3066c

23014344300 has 144 divisors (see below), whose sum is σ = 68142305280. Its totient is φ = 5994455040.

The previous prime is 23014344281. The next prime is 23014344319. The reversal of 23014344300 is 344341032.

It is an interprime number because it is at equal distance from previous prime (23014344281) and next prime (23014344319).

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 47 ways as a sum of consecutive naturals, for example, 8557356 + ... + 8560044.

Almost surely, 223014344300 is an apocalyptic number.

23014344300 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 23014344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34071152640).

23014344300 is an abundant number, since it is smaller than the sum of its proper divisors (45127960980).

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

23014344300 is a wasteful number, since it uses less digits than its factorization.

23014344300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23014344300 its reverse (344341032), we get a palindrome (23358685332).

The spelling of 23014344300 in words is "twenty-three billion, fourteen million, three hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 607 705 940 1175 1214 1410 1821 2350 2428 2689 2820 3035 3525 3642 4700 5378 6070 7050 7284 8067 9105 10756 12140 13445 14100 15175 16134 18210 26890 28529 30350 32268 36420 40335 45525 53780 57058 60700 67225 80670 85587 91050 114116 126383 134450 142645 161340 171174 182100 201675 252766 268900 285290 342348 379149 403350 427935 505532 570580 631915 713225 758298 806700 855870 1263830 1426450 1516596 1632223 1711740 1895745 2139675 2527660 2852900 3159575 3264446 3791490 4279350 4896669 6319150 6528892 7582980 8161115 8558700 9478725 9793338 12638300 16322230 18957450 19586676 24483345 32644460 37914900 40805575 48966690 76714481 81611150 97933380 122416725 153428962 163222300 230143443 244833450 306857924 383572405 460286886 489666900 767144810 920573772 1150717215 1534289620 1917862025 2301434430 3835724050 4602868860 5753586075 7671448100 11507172150 23014344300