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150222144 = 2631375711
BaseRepresentation
bin10001111010000…
…11010101000000
3101110200002001010
420331003111000
5301424102034
622523440520
73502603302
oct1075032500
9343602033
10150222144
1177884136
1242386140
1325179057
1415d45972
15d2c53e9
hex8f43540

150222144 has 56 divisors (see below), whose sum is σ = 400434048. Its totient is φ = 49699840.

The previous prime is 150222143. The next prime is 150222167. The reversal of 150222144 is 441222051.

It is a self number, because there is not a number n which added to its sum of digits gives 150222144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150222143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23449 + ... + 29159.

It is an arithmetic number, because the mean of its divisors is an integer number (7150608).

Almost surely, 2150222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200217024).

150222144 is an abundant number, since it is smaller than the sum of its proper divisors (250211904).

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

150222144 is a wasteful number, since it uses less digits than its factorization.

150222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 150222144 is about 12256.5143495204. The cubic root of 150222144 is about 531.5914476886.

Adding to 150222144 its reverse (441222051), we get a palindrome (591444195).

The spelling of 150222144 in words is "one hundred fifty million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 5711 6576 8768 11422 13152 17133 22844 26304 34266 45688 68532 91376 137064 182752 274128 365504 548256 782407 1096512 1564814 2347221 3129628 4694442 6259256 9388884 12518512 18777768 25037024 37555536 50074048 75111072 150222144