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150226662000 = 24353236431693
BaseRepresentation
bin1000101111101000110…
…1001111001001110000
3112100202112222010200110
42023322031033021300
54430131011141000
6153002502421320
713565520362262
oct2137215171160
9470675863613
10150226662000
1158790041718
1225146731840
131122151029c
1473b1913b32
153d93953850
hex22fa34f270

150226662000 has 320 divisors, whose sum is σ = 506473583616. Its totient is φ = 38236492800.

The previous prime is 150226661987. The next prime is 150226662017. The reversal of 150226662000 is 266622051.

150226662000 is digitally balanced in base 2 and base 3, because in such bases 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88733154 + ... + 88734846.

Almost surely, 2150226662000 is an apocalyptic number.

150226662000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150226662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253236791808).

150226662000 is an abundant number, since it is smaller than the sum of its proper divisors (356246921616).

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

150226662000 is a wasteful number, since it uses less digits than its factorization.

150226662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 150226662000 in words is "one hundred fifty billion, two hundred twenty-six million, six hundred sixty-two thousand".