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148668200 = 23524359293
BaseRepresentation
bin10001101110001…
…11111100101000
3101100202010102122
420313013330220
5301024340300
622430250412
73453441662
oct1067077450
9340663378
10148668200
1176a1268a
1241956a08
1324a53965
1415a5d532
15d0b9c85
hex8dc7f28

148668200 has 96 divisors (see below), whose sum is σ = 360914400. Its totient is φ = 56904960.

The previous prime is 148668193. The next prime is 148668203. The reversal of 148668200 is 2866841.

It is not an unprimeable number, because it can be changed into a prime (148668203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507254 + ... + 507546.

It is an arithmetic number, because the mean of its divisors is an integer number (3759525).

Almost surely, 2148668200 is an apocalyptic number.

148668200 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 148668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180457200).

148668200 is an abundant number, since it is smaller than the sum of its proper divisors (212246200).

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

148668200 is a wasteful number, since it uses less digits than its factorization.

148668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 148668200 is about 12192.9569834393. The cubic root of 148668200 is about 529.7521090659.

The spelling of 148668200 in words is "one hundred forty-eight million, six hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 59 86 100 118 172 200 215 236 293 295 344 430 472 586 590 860 1075 1172 1180 1465 1475 1720 2150 2344 2360 2537 2930 2950 4300 5074 5860 5900 7325 8600 10148 11720 11800 12599 12685 14650 17287 20296 25198 25370 29300 34574 50396 50740 58600 62995 63425 69148 86435 100792 101480 125990 126850 138296 172870 251980 253700 314975 345740 432175 503960 507400 629950 691480 743341 864350 1259900 1486682 1728700 2519800 2973364 3457400 3716705 5946728 7433410 14866820 18583525 29733640 37167050 74334100 148668200