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221142421236 = 223112224367901
BaseRepresentation
bin1100110111110100011…
…1011000111011110100
3210010210210110222001210
43031331013120323310
512110344424434421
6245331425321420
721656054365032
oct3157507307364
9703723428053
10221142421236
118587114a200
1236a38196270
1317b135ab3b9
14a9bbdc9552
155b44655576
hex337d1d8ef4

221142421236 has 72 divisors (see below), whose sum is σ = 567433655712. Its totient is φ = 66981992000.

The previous prime is 221142421169. The next prime is 221142421249. The reversal of 221142421236 is 632124241122.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3222886 + ... + 3290786.

It is an arithmetic number, because the mean of its divisors is an integer number (7881022996).

Almost surely, 2221142421236 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 221142421236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283716827856).

221142421236 is an abundant number, since it is smaller than the sum of its proper divisors (346291234476).

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

221142421236 is a wasteful number, since it uses less digits than its factorization.

221142421236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70173 (or 70160 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 221142421236 its reverse (632124241122), we get a palindrome (853266662358).

The spelling of 221142421236 in words is "two hundred twenty-one billion, one hundred forty-two million, four hundred twenty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 2243 4486 6729 8972 13458 24673 26916 49346 67901 74019 98692 135802 148038 203703 271403 271604 296076 407406 542806 746911 814209 814812 1085612 1493822 1628418 2240733 2987644 3256836 4481466 8216021 8962932 16432042 24648063 32864084 49296126 98592252 152301943 304603886 456905829 609207772 913811658 1675321373 1827623316 3350642746 5025964119 6701285492 10051928238 18428535103 20103856476 36857070206 55285605309 73714140412 110571210618 221142421236