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150214302 = 23272374603
BaseRepresentation
bin10001111010000…
…01011010011110
3101110122200021200
420331001122132
5301423324202
622523340330
73502541400
oct1075013236
9343580250
10150214302
1177879257
12423816a6
1325175604
1415d42b70
15d2c2e1c
hex8f4169e

150214302 has 72 divisors (see below), whose sum is σ = 388918296. Its totient is φ = 41749344.

The previous prime is 150214301. The next prime is 150214319. The reversal of 150214302 is 203412051.

150214302 is a `hidden beast` number, since 150 + 214 + 302 = 666.

150214302 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150214301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30333 + ... + 34935.

It is an arithmetic number, because the mean of its divisors is an integer number (5401643).

Almost surely, 2150214302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150214302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194459148).

150214302 is an abundant number, since it is smaller than the sum of its proper divisors (238703994).

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

150214302 is a wasteful number, since it uses less digits than its factorization.

150214302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150214302 is about 12256.1944338363. The cubic root of 150214302 is about 531.5821973598.

Adding to 150214302 its reverse (203412051), we get a palindrome (353626353).

The spelling of 150214302 in words is "one hundred fifty million, two hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 441 518 666 777 882 1554 1813 2331 3626 4603 4662 5439 9206 10878 13809 16317 27618 32221 32634 41427 64442 82854 96663 170311 193326 225547 289989 340622 451094 510933 579978 676641 1021866 1192177 1353282 1532799 2029923 2384354 3065598 3576531 4059846 7153062 8345239 10729593 16690478 21459186 25035717 50071434 75107151 150214302