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228136500 = 22345343131
BaseRepresentation
bin11011001100100…
…01011000110100
3120220021112110000
431212101120310
5431400332000
634345431300
75440061664
oct1546213064
9526245400
10228136500
11107860369
126449b530
1338359017
14224281a4
1515066000
hexd991634

228136500 has 240 divisors, whose sum is σ = 767422656. Its totient is φ = 58968000.

The previous prime is 228136499. The next prime is 228136501. The reversal of 228136500 is 5631822.

228136500 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 3 + 650 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (228136499) and next prime (228136501).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228136501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1741435 + ... + 1741565.

Almost surely, 2228136500 is an apocalyptic number.

228136500 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 228136500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383711328).

228136500 is an abundant number, since it is smaller than the sum of its proper divisors (539286156).

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

228136500 is a wasteful number, since it uses less digits than its factorization.

228136500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 228136500 is about 15104.1881609042. The cubic root of 228136500 is about 611.0333644589.

It can be divided in two parts, 2281 and 36500, that added together give a triangular number (38781 = T278).

The spelling of 228136500 in words is "two hundred twenty-eight million, one hundred thirty-six thousand, five hundred".