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228952240 = 245111511723
BaseRepresentation
bin11011010010110…
…00100010110000
3120221210222102121
431221120202300
5432102432430
634415124024
75450030146
oct1551304260
9527728377
10228952240
11108268230
1264813614
13385833ca
142259b596
1515177a7a
hexda588b0

228952240 has 80 divisors (see below), whose sum is σ = 584891136. Its totient is φ = 82656000.

The previous prime is 228952219. The next prime is 228952247. The reversal of 228952240 is 42259822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 228952196 and 228952205.

It is not an unprimeable number, because it can be changed into a prime (228952247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132019 + ... + 133741.

Almost surely, 2228952240 is an apocalyptic number.

228952240 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 228952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292445568).

228952240 is an abundant number, since it is smaller than the sum of its proper divisors (355938896).

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

228952240 is a wasteful number, since it uses less digits than its factorization.

228952240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 228952240 is about 15131.1678333168. The cubic root of 228952240 is about 611.7607819536.

The spelling of 228952240 in words is "two hundred twenty-eight million, nine hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 151 176 220 302 440 604 755 880 1208 1510 1661 1723 2416 3020 3322 3446 6040 6644 6892 8305 8615 12080 13288 13784 16610 17230 18953 26576 27568 33220 34460 37906 66440 68920 75812 94765 132880 137840 151624 189530 260173 303248 379060 520346 758120 1040692 1300865 1516240 2081384 2601730 2861903 4162768 5203460 5723806 10406920 11447612 14309515 20813840 22895224 28619030 45790448 57238060 114476120 228952240