Search a number
-
+
228699072000 = 293353723773
BaseRepresentation
bin1101010011111110000…
…1101110011000000000
3210212022102122121011000
43110333201232120000
512221333430301000
6253021330452000
722344243015600
oct3247741563000
9725272577130
10228699072000
1188a99733823
12383a6a34000
1318749012a99
14b0d7846c00
155e37c78000
hex353f86e600

228699072000 has 1920 divisors, whose sum is σ = 1023176119680. Its totient is φ = 50164531200.

The previous prime is 228699071987. The next prime is 228699072023. The reversal of 228699072000 is 270996822.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2286990720002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3132863964 + ... + 3132864036.

It is an arithmetic number, because the mean of its divisors is an integer number (532904229).

Almost surely, 2228699072000 is an apocalyptic number.

228699072000 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 228699072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511588059840).

228699072000 is an abundant number, since it is smaller than the sum of its proper divisors (794477047680).

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

228699072000 is an equidigital number, since it uses as much as digits as its factorization.

228699072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 228699072000 in words is "two hundred twenty-eight billion, six hundred ninety-nine million, seventy-two thousand".