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149266200 = 233521931289
BaseRepresentation
bin10001110010110…
…01111100011000
3101101212111201210
420321121330120
5301203004300
622451143120
73461512266
oct1071317430
9341774653
10149266200
11772909a6
1241ba4aa0
1324c02bc5
1415b77436
15d187050
hex8e59f18

149266200 has 96 divisors (see below), whose sum is σ = 465483600. Its totient is φ = 39567360.

The previous prime is 149266193. The next prime is 149266231. The reversal of 149266200 is 2662941.

149266200 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115156 + ... + 116444.

Almost surely, 2149266200 is an apocalyptic number.

149266200 is a gapful number since it is divisible by the number (10) 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 149266200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232741800).

149266200 is an abundant number, since it is smaller than the sum of its proper divisors (316217400).

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

149266200 is a wasteful number, since it uses less digits than its factorization.

149266200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 149266200 is about 12217.4547267424. The cubic root of 149266200 is about 530.4614469418.

The spelling of 149266200 in words is "one hundred forty-nine million, two hundred sixty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 193 200 300 386 579 600 772 965 1158 1289 1544 1930 2316 2578 2895 3860 3867 4632 4825 5156 5790 6445 7720 7734 9650 10312 11580 12890 14475 15468 19300 19335 23160 25780 28950 30936 32225 38600 38670 51560 57900 64450 77340 96675 115800 128900 154680 193350 248777 257800 386700 497554 746331 773400 995108 1243885 1492662 1990216 2487770 2985324 3731655 4975540 5970648 6219425 7463310 9951080 12438850 14926620 18658275 24877700 29853240 37316550 49755400 74633100 149266200