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229378032 = 243213196449
BaseRepresentation
bin11011010110000…
…00011111110000
3120222121121111200
431223000133300
5432210044112
634432211200
75453452422
oct1553003760
9528547450
10229378032
11108529124
1264999b00
13386a2160
142266c812
151520dcdc
hexdac07f0

229378032 has 120 divisors (see below), whose sum is σ = 727818000. Its totient is φ = 66852864.

The previous prime is 229378031. The next prime is 229378043. The reversal of 229378032 is 230873922.

229378032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2293780322 = 105228563128386048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229378031) 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, 32344 + ... + 38792.

It is an arithmetic number, because the mean of its divisors is an integer number (6065150).

Almost surely, 2229378032 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 229378032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363909000).

229378032 is an abundant number, since it is smaller than the sum of its proper divisors (498439968).

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

229378032 is a wasteful number, since it uses less digits than its factorization.

229378032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 229378032 is about 15145.2313287054. The cubic root of 229378032 is about 612.1397860879.

The spelling of 229378032 in words is "two hundred twenty-nine million, three hundred seventy-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 36 38 39 48 52 57 72 76 78 104 114 117 144 152 156 171 208 228 234 247 304 312 342 456 468 494 624 684 741 912 936 988 1368 1482 1872 1976 2223 2736 2964 3952 4446 5928 6449 8892 11856 12898 17784 19347 25796 35568 38694 51592 58041 77388 83837 103184 116082 122531 154776 167674 232164 245062 251511 309552 335348 367593 464328 490124 503022 670696 735186 754533 928656 980248 1006044 1102779 1341392 1470372 1509066 1592903 1960496 2012088 2205558 2940744 3018132 3185806 4024176 4411116 4778709 5881488 6036264 6371612 8822232 9557418 12072528 12743224 14336127 17644464 19114836 25486448 28672254 38229672 57344508 76459344 114689016 229378032