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224541101512 = 237134113954121
BaseRepresentation
bin1101000100011110110…
…0010100110111001000
3210110120122200210221001
43101013230110313020
512134330010222022
6251052555024344
722136223604630
oct3210754246710
9713518623831
10224541101512
1187255663a82
123762643b0b4
1318235761610
14ac215316c0
155c92bebb27
hex3447b14dc8

224541101512 has 128 divisors (see below), whose sum is σ = 534638764800. Its totient is φ = 86037811200.

The previous prime is 224541101507. The next prime is 224541101531. The reversal of 224541101512 is 215101145422.

224541101512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2245411015122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 4121812 + ... + 4175932.

It is an arithmetic number, because the mean of its divisors is an integer number (4176865350).

Almost surely, 2224541101512 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 224541101512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267319382400).

224541101512 is an abundant number, since it is smaller than the sum of its proper divisors (310097663288).

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

224541101512 is a wasteful number, since it uses less digits than its factorization.

224541101512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54327 (or 54323 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 224541101512 its reverse (215101145422), we get a palindrome (439642246934).

The spelling of 224541101512 in words is "two hundred twenty-four billion, five hundred forty-one million, one hundred one thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 139 164 182 278 287 328 364 533 556 574 728 973 1066 1112 1148 1807 1946 2132 2296 3614 3731 3892 4264 5699 7228 7462 7784 11398 12649 14456 14924 22796 25298 29848 39893 45592 50596 54121 74087 79786 101192 108242 148174 159572 216484 296348 319144 378847 432968 518609 592696 703573 757694 1037218 1407146 1515388 2074436 2218961 2814292 3030776 4148872 4437922 4925011 5628584 7522819 8875844 9850022 15045638 15532727 17751688 19700044 28846493 30091276 31065454 39400088 52659733 57692986 60182552 62130908 97796647 105319466 115385972 124261816 195593294 201925451 210638932 230771944 308435579 391186588 403850902 421277864 616871158 684576529 782373176 807701804 1233742316 1369153058 1615403608 2159049053 2467484632 2738306116 4009662527 4318098106 5476612232 8019325054 8636196212 16038650108 17272392424 28067637689 32077300216 56135275378 112270550756 224541101512