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221213591552 = 2111925472
BaseRepresentation
bin1100111000000101011…
…0111000100000000000
3210010222202101210101102
43032001112320200000
512111021134412202
6245342450553532
721660610334462
oct3160126704000
9703882353342
10221213591552
11858a833a548
1236a57b988a8
1317b25269805
14a9c7634132
155b4aa12d02
hex33815b8800

221213591552 has 108 divisors (see below), whose sum is σ = 467679372615. Its totient is φ = 104593821696.

The previous prime is 221213591531. The next prime is 221213591593. The reversal of 221213591552 is 255195312122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221213591552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110606795776 + 110606795776 = 332576^2 + 332576^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332576.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 404412143 + ... + 404412689.

Almost surely, 2221213591552 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 221213591552

221213591552 is an abundant number, since it is smaller than the sum of its proper divisors (246465781063).

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

221213591552 is an frugal number, since it uses more digits than its factorization.

221213591552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 568 counting only the distinct ones).

The product of its digits is 54000, while the sum is 38.

The spelling of 221213591552 in words is "two hundred twenty-one billion, two hundred thirteen million, five hundred ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 547 608 722 1024 1094 1216 1444 2048 2188 2432 2888 4376 4864 5776 8752 9728 10393 11552 17504 19456 20786 23104 35008 38912 41572 46208 70016 83144 92416 140032 166288 184832 197467 280064 299209 332576 369664 394934 560128 598418 665152 739328 789868 1120256 1196836 1330304 1579736 2393672 2660608 3159472 4787344 5321216 5684971 6318944 9574688 10642432 11369942 12637888 19149376 21284864 22739884 25275776 38298752 45479768 50551552 76597504 90959536 101103104 108014449 153195008 181919072 202206208 216028898 306390016 363838144 404412416 432057796 612780032 727676288 864115592 1455352576 1728231184 2910705152 3456462368 5821410304 6912924736 11642820608 13825849472 27651698944 55303397888 110606795776 221213591552