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228596940 = 22325111383107
BaseRepresentation
bin11011010000000…
…01110011001100
3120221010221001100
431220001303030
5432010100230
634403343100
75444020245
oct1550016314
9527127040
10228596940
111080452a0
1264681a90
133848a780
1422507ccc
1515107660
hexda01ccc

228596940 has 288 divisors, whose sum is σ = 832156416. Its totient is φ = 50065920.

The previous prime is 228596939. The next prime is 228596947. The reversal of 228596940 is 49695822.

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

It is not an unprimeable number, because it can be changed into a prime (228596947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2136367 + ... + 2136473.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2228596940 is an apocalyptic number.

228596940 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 228596940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

228596940 is an abundant number, since it is smaller than the sum of its proper divisors (603559476).

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

228596940 is a wasteful number, since it uses less digits than its factorization.

228596940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 228596940 is about 15119.4226080231. The cubic root of 228596940 is about 611.4441640438. Note that the first 3 decimals are identical.

It can be divided in two parts, 2285 and 96940, that added together give a square (99225 = 3152).

The spelling of 228596940 in words is "two hundred twenty-eight million, five hundred ninety-six thousand, nine hundred forty".