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150664122 = 23273231061
BaseRepresentation
bin10001111101011…
…11001110111010
3101111111112022200
420332233032322
5302032222442
622541131030
73506424000
oct1076571672
9344445280
10150664122
1178056204
1242559a76
13252a228b
141601ca70
15d36134c
hex8faf3ba

150664122 has 96 divisors (see below), whose sum is σ = 397612800. Its totient is φ = 41136480.

The previous prime is 150664117. The next prime is 150664127. The reversal of 150664122 is 221466051.

150664122 is a `hidden beast` number, since 15 + 0 + 6 + 641 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (150664117) and next prime (150664127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150664127) 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, 141472 + ... + 142532.

It is an arithmetic number, because the mean of its divisors is an integer number (4141800).

Almost surely, 2150664122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150664122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198806400).

150664122 is an abundant number, since it is smaller than the sum of its proper divisors (246948678).

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

150664122 is a wasteful number, since it uses less digits than its factorization.

150664122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150664122 is about 12274.5314370855. The cubic root of 150664122 is about 532.1122800871.

The spelling of 150664122 in words is "one hundred fifty million, six hundred sixty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 343 414 441 483 686 882 966 1029 1061 1127 1449 2058 2122 2254 2898 3087 3183 3381 6174 6366 6762 7427 7889 9549 10143 14854 15778 19098 20286 22281 23667 24403 44562 47334 48806 51989 66843 71001 73209 103978 133686 142002 146418 155967 170821 219627 311934 341642 363923 439254 467901 512463 727846 935802 1024926 1091769 1195747 1537389 2183538 2391494 3074778 3275307 3587241 6550614 7174482 8370229 10761723 16740458 21523446 25110687 50221374 75332061 150664122