Search a number
-
+
470227940 = 225713892903
BaseRepresentation
bin11100000001110…
…001101111100100
31012202211001110122
4130001301233210
51430334243230
6114354341112
714436604640
oct3401615744
91182731418
10470227940
11221482236
1211158a798
137655cab0
1446645c20
152b436be5
hex1c071be4

470227940 has 96 divisors (see below), whose sum is σ = 1229437440. Its totient is φ = 147096576.

The previous prime is 470227937. The next prime is 470227949. The reversal of 470227940 is 49722074.

It is a happy number.

It is a super-2 number, since 2×4702279402 = 442228631113287200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 470227940.

It is not an unprimeable number, because it can be changed into a prime (470227949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160529 + ... + 163431.

It is an arithmetic number, because the mean of its divisors is an integer number (12806640).

Almost surely, 2470227940 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 470227940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614718720).

470227940 is an abundant number, since it is smaller than the sum of its proper divisors (759209500).

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

470227940 is a wasteful number, since it uses less digits than its factorization.

470227940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 470227940 is about 21684.7397955336. The cubic root of 470227940 is about 777.6236794181.

The spelling of 470227940 in words is "four hundred seventy million, two hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 89 91 130 140 178 182 260 356 364 445 455 623 890 910 1157 1246 1780 1820 2314 2492 2903 3115 4628 5785 5806 6230 8099 11570 11612 12460 14515 16198 20321 23140 29030 32396 37739 40495 40642 58060 75478 80990 81284 101605 150956 161980 188695 203210 258367 264173 377390 406420 516734 528346 754780 1033468 1056692 1291835 1320865 1808569 2583670 2641730 3358771 3617138 5167340 5283460 6717542 7234276 9042845 13435084 16793855 18085690 23511397 33587710 36171380 47022794 67175420 94045588 117556985 235113970 470227940