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150201450 = 232527411163
BaseRepresentation
bin10001111001111…
…10010001101010
3101110122000122200
420330332101222
5301422421300
622523201030
73502456050
oct1074762152
9343560580
10150201450
117786a633
1242376176
132516c7c9
1415d3c1d0
15d2be200
hex8f3e46a

150201450 has 144 divisors (see below), whose sum is σ = 472844736. Its totient is φ = 33465600.

The previous prime is 150201449. The next prime is 150201461. The reversal of 150201450 is 54102051.

150201450 is a `hidden beast` number, since 15 + 0 + 201 + 450 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128569 + ... + 129731.

It is an arithmetic number, because the mean of its divisors is an integer number (3283644).

Almost surely, 2150201450 is an apocalyptic number.

150201450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150201450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236422368).

150201450 is an abundant number, since it is smaller than the sum of its proper divisors (322643286).

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

150201450 is a wasteful number, since it uses less digits than its factorization.

150201450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 150201450 is about 12255.6701163176. The cubic root of 150201450 is about 531.5670365991.

The spelling of 150201450 in words is "one hundred fifty million, two hundred one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 41 42 45 50 63 70 75 82 90 105 123 126 150 175 205 210 225 246 287 315 350 369 410 450 525 574 615 630 738 861 1025 1050 1163 1230 1435 1575 1722 1845 2050 2326 2583 2870 3075 3150 3489 3690 4305 5166 5815 6150 6978 7175 8141 8610 9225 10467 11630 12915 14350 16282 17445 18450 20934 21525 24423 25830 29075 34890 40705 43050 47683 48846 52335 58150 64575 73269 81410 87225 95366 104670 122115 129150 143049 146538 174450 203525 238415 244230 261675 286098 333781 366345 407050 429147 476830 523350 610575 667562 715245 732690 858294 1001343 1192075 1221150 1430490 1668905 1831725 2002686 2145735 2384150 3004029 3337810 3576225 3663450 4291470 5006715 6008058 7152450 8344525 10013430 10728675 15020145 16689050 21457350 25033575 30040290 50067150 75100725 150201450