Search a number
-
+
69228270 = 235531919
BaseRepresentation
bin1000010000001…
…01011011101110
311211021011100000
410020011123232
5120210301040
610511445130
71500300456
oct410053356
9154234300
1069228270
1136094251
121b2267a6
131145b497
1492a0d66
156127130
hex42056ee

69228270 has 96 divisors (see below), whose sum is σ = 192890880. Its totient is φ = 17845920.

The previous prime is 69228241. The next prime is 69228277. The reversal of 69228270 is 7282296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69228277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74871 + ... + 75789.

It is an arithmetic number, because the mean of its divisors is an integer number (2009280).

Almost surely, 269228270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69228270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96445440).

69228270 is an abundant number, since it is smaller than the sum of its proper divisors (123662610).

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

69228270 is a wasteful number, since it uses less digits than its factorization.

69228270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 69228270 is about 8320.3527569449. The cubic root of 69228270 is about 410.6083967766.

The spelling of 69228270 in words is "sixty-nine million, two hundred twenty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 810 837 919 930 1215 1395 1674 1838 2430 2511 2757 2790 4185 4595 5022 5514 7533 8271 8370 9190 12555 13785 15066 16542 24813 25110 27570 28489 37665 41355 49626 56978 74439 75330 82710 85467 124065 142445 148878 170934 223317 248130 256401 284890 372195 427335 446634 512802 744390 769203 854670 1116585 1282005 1538406 2233170 2307609 2564010 3846015 4615218 6922827 7692030 11538045 13845654 23076090 34614135 69228270