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221132426220 = 223353711067689
BaseRepresentation
bin1100110111110010000…
…1010000101111101100
3210010210002200011111000
43031330201100233230
512110334400114340
6245330431200300
721655603416036
oct3157441205754
9703702604430
10221132426220
1185866542862
1236a34976090
1317b114bbba4
14a9ba946c56
155b4382dd30
hex337c850bec

221132426220 has 96 divisors (see below), whose sum is σ = 706561329600. Its totient is φ = 57374894592.

The previous prime is 221132426213. The next prime is 221132426239. The reversal of 221132426220 is 22624231122.

221132426220 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 32 + 4 + 2 + 622 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5513865 + ... + 5553824.

It is an arithmetic number, because the mean of its divisors is an integer number (7360013850).

Almost surely, 2221132426220 is an apocalyptic number.

221132426220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221132426220 is an abundant number, since it is smaller than the sum of its proper divisors (485428903380).

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

221132426220 is a wasteful number, since it uses less digits than its factorization.

221132426220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11067744 (or 11067736 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221132426220 its reverse (22624231122), we get a palindrome (243756657342).

The spelling of 221132426220 in words is "two hundred twenty-one billion, one hundred thirty-two million, four hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 19980 11067689 22135378 33203067 44270756 55338445 66406134 99609201 110676890 132812268 166015335 199218402 221353780 298827603 332030670 398436804 409504493 498046005 597655206 664061340 819008986 996092010 1195310412 1228513479 1494138015 1638017972 1992184020 2047522465 2457026958 2988276030 3685540437 4095044930 4914053916 5976552060 6142567395 7371080874 8190089860 11056621311 12285134790 14742161748 18427702185 22113242622 24570269580 36855404370 44226485244 55283106555 73710808740 110566213110 221132426220