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150164217 = 32723313343
BaseRepresentation
bin10001111001101…
…01001011111001
3101110120010120200
420330311023321
5301420223332
622522312413
73502242360
oct1074651371
9343503520
10150164217
1177844665
1242358709
1325158888
1415d2c7d7
15d2b317c
hex8f352f9

150164217 has 48 divisors (see below), whose sum is σ = 267091968. Its totient is φ = 79405920.

The previous prime is 150164207. The next prime is 150164237. The reversal of 150164217 is 712461051.

It is a happy number.

150164217 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 642 + 17 = 666.

It is not a de Polignac number, because 150164217 - 28 = 150163961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (150164207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43248 + ... + 46590.

It is an arithmetic number, because the mean of its divisors is an integer number (5564416).

Almost surely, 2150164217 is an apocalyptic number.

It is an amenable number.

150164217 is a deficient number, since it is larger than the sum of its proper divisors (116927751).

150164217 is a wasteful number, since it uses less digits than its factorization.

150164217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 150164217 is about 12254.1510109840. The cubic root of 150164217 is about 531.5231101011.

The spelling of 150164217 in words is "one hundred fifty million, one hundred sixty-four thousand, two hundred seventeen".

Divisors: 1 3 7 9 21 23 31 63 69 93 161 207 217 279 483 651 713 1449 1953 2139 3343 4991 6417 10029 14973 23401 30087 44919 70203 76889 103633 210609 230667 310899 538223 692001 725431 932697 1614669 2176293 2383559 4844007 6528879 7150677 16684913 21452031 50054739 150164217