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153450200 = 23521097039
BaseRepresentation
bin10010010010101…
…11011011011000
3101200202002002202
421021113123120
5303240401300
623120545332
73542206451
oct1111273330
9350662082
10153450200
1179689452
1243482248
1325a39447
1416546128
15d711ad5
hex92576d8

153450200 has 48 divisors (see below), whose sum is σ = 360096000. Its totient is φ = 60808320.

The previous prime is 153450179. The next prime is 153450203. The reversal of 153450200 is 2054351.

153450200 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153450203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18281 + ... + 25319.

It is an arithmetic number, because the mean of its divisors is an integer number (7502000).

Almost surely, 2153450200 is an apocalyptic number.

153450200 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 153450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180048000).

153450200 is an abundant number, since it is smaller than the sum of its proper divisors (206645800).

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

153450200 is a wasteful number, since it uses less digits than its factorization.

153450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 153450200 is about 12387.5017658929. The cubic root of 153450200 is about 535.3722043823.

The spelling of 153450200 in words is "one hundred fifty-three million, four hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 7039 10900 14078 21800 28156 35195 56312 70390 140780 175975 281560 351950 703900 767251 1407800 1534502 3069004 3836255 6138008 7672510 15345020 19181275 30690040 38362550 76725100 153450200