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221201647152 = 243375313117939
BaseRepresentation
bin1100111000000010100…
…1010100011000110000
3210010221220220221202020
43032000221110120300
512111010110202102
6245341342551440
721660403656243
oct3160051243060
9703856827666
10221201647152
11858a1621542
1236a53b98580
1317b22946c15
14a9c5c0525a
155b49953bbc
hex3380a54630

221201647152 has 160 divisors (see below), whose sum is σ = 602553219840. Its totient is φ = 69846266880.

The previous prime is 221201647151. The next prime is 221201647201. The reversal of 221201647152 is 251746102122.

It is a super-2 number, since 2×2212016471522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221201647151) 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, 12321799 + ... + 12339737.

It is an arithmetic number, because the mean of its divisors is an integer number (3765957624).

Almost surely, 2221201647152 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 221201647152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301276609920).

221201647152 is an abundant number, since it is smaller than the sum of its proper divisors (381351572688).

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

221201647152 is a wasteful number, since it uses less digits than its factorization.

221201647152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18171 (or 18165 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 221201647152 its reverse (251746102122), we get a palindrome (472947749274).

The spelling of 221201647152 in words is "two hundred twenty-one billion, two hundred one million, six hundred forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 53 74 106 111 131 148 159 212 222 262 296 318 393 424 444 524 592 636 786 848 888 1048 1272 1572 1776 1961 2096 2544 3144 3922 4847 5883 6288 6943 7844 9694 11766 13886 14541 15688 17939 19388 20829 23532 27772 29082 31376 35878 38776 41658 47064 53817 55544 58164 71756 77552 83316 94128 107634 111088 116328 143512 166632 215268 232656 256891 287024 333264 430536 513782 663743 770673 861072 950767 1027564 1327486 1541346 1901534 1991229 2055128 2350009 2654972 2852301 3082692 3803068 3982458 4110256 4700018 5309944 5704602 6165384 7050027 7606136 7964916 9400036 10619888 11409204 12330768 14100054 15212272 15929832 18800072 22818408 28200108 31859664 35178379 37600144 45636816 56400216 70356758 86950333 105535137 112800432 124550477 140713516 173900666 211070274 249100954 260850999 281427032 347801332 373651431 422140548 498201908 521701998 562854064 695602664 747302862 844281096 996403816 1043403996 1391205328 1494605724 1688562192 1992807632 2086807992 2989211448 4173615984 4608367649 5978422896 9216735298 13825102947 18433470596 27650205894 36866941192 55300411788 73733882384 110600823576 221201647152