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6221223660 = 2235374365171
BaseRepresentation
bin1011100101101000…
…00101011011101100
3121001120022220111010
411302310011123230
5100220113124120
62505154225220
7310111346211
oct56264053354
917046286433
106221223660
11270279a463
121257585210
13781b74442
14430357b08
152662857e0
hex172d056ec

6221223660 has 96 divisors (see below), whose sum is σ = 18306554112. Its totient is φ = 1576592640.

The previous prime is 6221223643. The next prime is 6221223691. The reversal of 6221223660 is 663221226.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62875 + ... + 128045.

It is an arithmetic number, because the mean of its divisors is an integer number (190693272).

Almost surely, 26221223660 is an apocalyptic number.

6221223660 is a gapful number since it is divisible by the number (60) 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 6221223660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153277056).

6221223660 is an abundant number, since it is smaller than the sum of its proper divisors (12085330452).

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

6221223660 is a wasteful number, since it uses less digits than its factorization.

6221223660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65263 (or 65261 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 6221223660 is about 78874.7339773644. The cubic root of 6221223660 is about 1839.1843876525.

Adding to 6221223660 its reverse (663221226), we get a palindrome (6884444886).

The spelling of 6221223660 in words is "six billion, two hundred twenty-one million, two hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 172 185 215 222 258 370 430 444 516 555 645 740 860 1110 1290 1591 2220 2580 3182 4773 6364 7955 9546 15910 19092 23865 31820 47730 65171 95460 130342 195513 260684 325855 391026 651710 782052 977565 1303420 1955130 2411327 2802353 3910260 4822654 5604706 7233981 8407059 9645308 11209412 12056635 14011765 14467962 16814118 24113270 28023530 28935924 33628236 36169905 42035295 48226540 56047060 72339810 84070590 103687061 144679620 168141180 207374122 311061183 414748244 518435305 622122366 1036870610 1244244732 1555305915 2073741220 3110611830 6221223660