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150561222 = 2373149491
BaseRepresentation
bin10001111100101…
…10000111000110
3101111022022011120
420332112013012
5302020424342
622535014410
73505515000
oct1076260706
9344268146
10150561222
1177a95969
124250a406
13252674a6
1415dd3370
15d340aec
hex8f961c6

150561222 has 64 divisors (see below), whose sum is σ = 354240000. Its totient is φ = 42641760.

The previous prime is 150561221. The next prime is 150561223. The reversal of 150561222 is 222165051.

It is a happy number.

150561222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150561221) and next prime (150561223).

It is a junction number, because it is equal to n+sod(n) for n = 150561192 and 150561201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150561221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306397 + ... + 306887.

It is an arithmetic number, because the mean of its divisors is an integer number (5535000).

Almost surely, 2150561222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150561222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177120000).

150561222 is an abundant number, since it is smaller than the sum of its proper divisors (203678778).

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

150561222 is a wasteful number, since it uses less digits than its factorization.

150561222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 150561222 is about 12270.3391151182. The cubic root of 150561222 is about 531.9911125016.

The spelling of 150561222 in words is "one hundred fifty million, five hundred sixty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 149 294 298 343 447 491 686 894 982 1029 1043 1473 2058 2086 2946 3129 3437 6258 6874 7301 10311 14602 20622 21903 24059 43806 48118 51107 72177 73159 102214 144354 146318 153321 168413 219477 306642 336826 438954 505239 512113 1010478 1024226 1536339 3072678 3584791 7169582 10754373 21508746 25093537 50187074 75280611 150561222