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470221020 = 2232517314957
BaseRepresentation
bin11100000001110…
…000000011011100
31012202210200222100
4130001300003130
51430334033040
6114354245100
714436545523
oct3401600334
91182720870
10470221020
11221478015
12111586790
13765598b9
14466434ba
152b434b30
hex1c0700dc

470221020 has 144 divisors (see below), whose sum is σ = 1559271168. Its totient is φ = 114186240.

The previous prime is 470221019. The next prime is 470221027. The reversal of 470221020 is 20122074.

It is a super-2 number, since 2×4702210202 = 442215615299680800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 470220984 and 470221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470221027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92382 + ... + 97338.

It is an arithmetic number, because the mean of its divisors is an integer number (10828272).

Almost surely, 2470221020 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 470221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779635584).

470221020 is an abundant number, since it is smaller than the sum of its proper divisors (1089050148).

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

470221020 is a wasteful number, since it uses less digits than its factorization.

470221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 470221020 is about 21684.5802357343. The cubic root of 470221020 is about 777.6198648268.

Adding to 470221020 its reverse (20122074), we get a palindrome (490343094).

The spelling of 470221020 in words is "four hundred seventy million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 340 372 465 510 527 558 612 620 765 930 1020 1054 1116 1395 1530 1581 1860 2108 2635 2790 3060 3162 4743 4957 5270 5580 6324 7905 9486 9914 10540 14871 15810 18972 19828 23715 24785 29742 31620 44613 47430 49570 59484 74355 84269 89226 94860 99140 148710 153667 168538 178452 223065 252807 297420 307334 337076 421345 446130 461001 505614 614668 758421 768335 842690 892260 922002 1011228 1264035 1383003 1516842 1536670 1685380 1844004 2305005 2528070 2612339 2766006 3033684 3073340 3792105 4610010 5056140 5224678 5532012 6915015 7584210 7837017 9220020 10449356 13061695 13830030 15168420 15674034 23511051 26123390 27660060 31348068 39185085 47022102 52246780 78370170 94044204 117555255 156740340 235110510 470221020