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470221227564 = 2231128320836043
BaseRepresentation
bin1101101011110110101…
…11101000011000101100
31122221201112012100000220
412311323113220120230
530201003113240224
61000003332451340
745654343325664
oct6657327503054
91587645170026
10470221227564
11171468695a70
1277170179b50
133545986307a
1418a8a3251a4
15c371658279
hex6d7b5e862c

470221227564 has 96 divisors (see below), whose sum is σ = 1201931695104. Its totient is φ = 141896128320.

The previous prime is 470221227533. The next prime is 470221227569. The reversal of 470221227564 is 465722122074.

It is a happy number.

It is a super-2 number, since 2×4702212275642 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (470221227569) 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, 77809527 + ... + 77815569.

It is an arithmetic number, because the mean of its divisors is an integer number (12520121824).

Almost surely, 2470221227564 is an apocalyptic number.

470221227564 is a gapful number since it is divisible by the number (44) 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 470221227564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600965847552).

470221227564 is an abundant number, since it is smaller than the sum of its proper divisors (731710467540).

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

470221227564 is a wasteful number, since it uses less digits than its factorization.

470221227564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 470221227564 in words is "four hundred seventy billion, two hundred twenty-one million, two hundred twenty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 849 1132 1698 2083 3113 3396 4166 6043 6226 6249 8332 9339 12086 12452 12498 18129 18678 22913 24172 24996 36258 37356 45826 66473 68739 72516 91652 132946 137478 199419 265892 274956 398838 589489 797676 1178978 1710169 1768467 2357956 3420338 3536934 5130507 6484379 6840676 7073868 10261014 12587569 12968758 18811859 19453137 20522028 25175138 25937516 37623718 37762707 38906274 50350276 56435577 75247436 75525414 77812548 112871154 138463259 151050828 225742308 276926518 415389777 553853036 830779554 1661559108 3562282027 7124564054 10686846081 14249128108 21373692162 39185102297 42747384324 78370204594 117555306891 156740409188 235110613782 470221227564