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228526950 = 23526722739
BaseRepresentation
bin11011001111100…
…00101101100110
3120221000101001010
431213300231212
5432000330300
634402043050
75443306221
oct1547605546
9527011033
10228526950
11107aa7753
1264649486
1338464962
14224ca5b8
15150e1a50
hexd9f0b66

228526950 has 48 divisors (see below), whose sum is σ = 575231040. Its totient is φ = 60028320.

The previous prime is 228526933. The next prime is 228526951. The reversal of 228526950 is 59625822.

It is a junction number, because it is equal to n+sod(n) for n = 228526899 and 228526908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228526951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320 + ... + 21419.

It is an arithmetic number, because the mean of its divisors is an integer number (11983980).

Almost surely, 2228526950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228526950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287615520).

228526950 is an abundant number, since it is smaller than the sum of its proper divisors (346704090).

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

228526950 is a wasteful number, since it uses less digits than its factorization.

228526950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22821 (or 22816 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 228526950 is about 15117.1078583173. The cubic root of 228526950 is about 611.3817552975.

The spelling of 228526950 in words is "two hundred twenty-eight million, five hundred twenty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 1005 1675 2010 3350 5025 10050 22739 45478 68217 113695 136434 227390 341085 568475 682170 1136950 1523513 1705425 3047026 3410850 4570539 7617565 9141078 15235130 22852695 38087825 45705390 76175650 114263475 228526950