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228351270000 = 2435472315011
BaseRepresentation
bin1101010010101011001…
…0111101110001110000
3210211102012012102111110
43110222302331301300
512220130411120000
6252523024113320
722332520524600
oct3245262756160
9724365172443
10228351270000
118893037aa57
123830a465840
13186c1c49199
14b0a358cc00
155e17475850
hex352acbdc70

228351270000 has 600 divisors, whose sum is σ = 885337001472. Its totient is φ = 50500800000.

The previous prime is 228351269983. The next prime is 228351270013. The reversal of 228351270000 is 72153822.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×2283512700002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 228351270000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45567495 + ... + 45572505.

Almost surely, 2228351270000 is an apocalyptic number.

228351270000 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 228351270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442668500736).

228351270000 is an abundant number, since it is smaller than the sum of its proper divisors (656985731472).

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

228351270000 is a wasteful number, since it uses less digits than its factorization.

228351270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087 (or 5059 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 228351270000 in words is "two hundred twenty-eight billion, three hundred fifty-one million, two hundred seventy thousand".