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228592952 = 23719239341
BaseRepresentation
bin11011010000000…
…00110100111000
3120221010201120122
431220000310320
5432004433302
634403312412
75444002520
oct1550006470
9527121518
10228592952
111080422a5
126467b708
1338488a03
1422506680
15151063a2
hexda00d38

228592952 has 64 divisors (see below), whose sum is σ = 538099200. Its totient is φ = 88767360.

The previous prime is 228592951. The next prime is 228592957. The reversal of 228592952 is 259295822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228592951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19802 + ... + 29142.

It is an arithmetic number, because the mean of its divisors is an integer number (8407800).

Almost surely, 2228592952 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 228592952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269049600).

228592952 is an abundant number, since it is smaller than the sum of its proper divisors (309506248).

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

228592952 is a wasteful number, since it uses less digits than its factorization.

228592952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9396 (or 9392 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The square root of 228592952 is about 15119.2907241048. The cubic root of 228592952 is about 611.4406083627.

The spelling of 228592952 in words is "two hundred twenty-eight million, five hundred ninety-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 133 152 161 184 266 322 437 532 644 874 1064 1288 1748 3059 3496 6118 9341 12236 18682 24472 37364 65387 74728 130774 177479 214843 261548 354958 429686 523096 709916 859372 1242353 1419832 1503901 1718744 2484706 3007802 4082017 4969412 6015604 8164034 9938824 12031208 16328068 28574119 32656136 57148238 114296476 228592952