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228151962000 = 243253194153307
BaseRepresentation
bin1101010001111011101…
…0101010100110010000
3210210220022011112022200
43110132322222212100
512214223400241000
6252451144203200
722324550451654
oct3243672524620
9723808145280
10228151962000
118883891a9a6
1238273769500
131868c874b61
14b084d0aa64
155e04c06500
hex351eeaa990

228151962000 has 960 divisors, whose sum is σ = 878321283840. Its totient is φ = 54991872000.

The previous prime is 228151961993. The next prime is 228151962007. The reversal of 228151962000 is 269151822.

228151962000 is a `hidden beast` number, since 2 + 2 + 8 + 15 + 19 + 620 + 0 + 0 = 666.

228151962000 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 (228151961993) and next prime (228151962007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (228151962007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 743165847 + ... + 743166153.

It is an arithmetic number, because the mean of its divisors is an integer number (914918004).

Almost surely, 2228151962000 is an apocalyptic number.

228151962000 is a gapful number since it is divisible by the number (20) 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 228151962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439160641920).

228151962000 is an abundant number, since it is smaller than the sum of its proper divisors (650169321840).

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

228151962000 is a wasteful number, since it uses less digits than its factorization.

228151962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 228151962000 in words is "two hundred twenty-eight billion, one hundred fifty-one million, nine hundred sixty-two thousand".