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228293940 = 22357311093
BaseRepresentation
bin11011001101101…
…11110100110100
3120220120112102010
431212313310310
5431420401230
634353044220
75441316000
oct1546676464
9526515363
10228293940
11107958686
1264556670
13383b2894
1422469700
15150979b0
hexd9b7d34

228293940 has 96 divisors (see below), whose sum is σ = 745516800. Its totient is φ = 52176768.

The previous prime is 228293939. The next prime is 228293941. The reversal of 228293940 is 49392822.

It is a happy number.

228293940 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 (228293939) and next prime (228293941).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228293941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15034 + ... + 26126.

It is an arithmetic number, because the mean of its divisors is an integer number (7765800).

Almost surely, 2228293940 is an apocalyptic number.

228293940 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 228293940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372758400).

228293940 is an abundant number, since it is smaller than the sum of its proper divisors (517222860).

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

228293940 is a wasteful number, since it uses less digits than its factorization.

228293940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 228293940 is about 15109.3990615113. The cubic root of 228293940 is about 611.1738928582.

The spelling of 228293940 in words is "two hundred twenty-eight million, two hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 343 420 490 588 686 735 980 1029 1372 1470 1715 2058 2940 3430 4116 5145 6860 10290 11093 20580 22186 33279 44372 55465 66558 77651 110930 133116 155302 166395 221860 232953 310604 332790 388255 465906 543557 665580 776510 931812 1087114 1164765 1553020 1630671 2174228 2329530 2717785 3261342 3804899 4659060 5435570 6522684 7609798 8153355 10871140 11414697 15219596 16306710 19024495 22829394 32613420 38048990 45658788 57073485 76097980 114146970 228293940