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228310992 = 2432721319131
BaseRepresentation
bin11011001101110…
…11111111010000
3120220121101210200
431212323333100
5431421422432
634353255200
75441416500
oct1546737720
9526541720
10228310992
1110796a478
1264564500
13383ba580
1422471a00
151509ca7c
hexd9bbfd0

228310992 has 360 divisors, whose sum is σ = 849008160. Its totient is φ = 56609280.

The previous prime is 228310991. The next prime is 228310993. The reversal of 228310992 is 299013822.

228310992 is digitally balanced in base 3, 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 (228310991) and next prime (228310993).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228310991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1742767 + ... + 1742897.

It is an arithmetic number, because the mean of its divisors is an integer number (2358356).

Almost surely, 2228310992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424504080).

228310992 is an abundant number, since it is smaller than the sum of its proper divisors (620697168).

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

228310992 is a wasteful number, since it uses less digits than its factorization.

228310992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 228310992 is about 15109.9633354949. The cubic root of 228310992 is about 611.1891093196.

The spelling of 228310992 in words is "two hundred twenty-eight million, three hundred ten thousand, nine hundred ninety-two".