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10223666244 = 223211172366029
BaseRepresentation
bin10011000010110000…
…01100010001000100
3222101111122001112100
421201120030101010
5131414224304434
64410252352100
7511231505061
oct114130142104
928344561470
1010223666244
114376aa1850
121b93a75630
13c6c13c86c
146cdb45c68
153ec83e699
hex26160c444

10223666244 has 144 divisors (see below), whose sum is σ = 31149256320. Its totient is φ = 2789022720.

The previous prime is 10223666171. The next prime is 10223666291. The reversal of 10223666244 is 44266632201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10223666199 and 10223666208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121822 + ... + 187850.

It is an arithmetic number, because the mean of its divisors is an integer number (216314280).

Almost surely, 210223666244 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 10223666244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15574628160).

10223666244 is an abundant number, since it is smaller than the sum of its proper divisors (20925590076).

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

10223666244 is a wasteful number, since it uses less digits than its factorization.

10223666244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66090 (or 66085 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 10223666244 in words is "ten billion, two hundred twenty-three million, six hundred sixty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 23 33 34 36 44 46 51 66 68 69 92 99 102 132 138 153 187 198 204 207 253 276 306 374 391 396 414 506 561 612 748 759 782 828 1012 1122 1173 1518 1564 1683 2244 2277 2346 3036 3366 3519 4301 4554 4692 6732 7038 8602 9108 12903 14076 17204 25806 38709 51612 66029 77418 132058 154836 198087 264116 396174 594261 726319 792348 1122493 1188522 1452638 1518667 2178957 2244986 2377044 2905276 3037334 3367479 4357914 4489972 4556001 6074668 6536871 6734958 8715828 9112002 10102437 12347423 13073742 13469916 13668003 16705337 18224004 20204874 24694846 25817339 26147484 27336006 33410674 37042269 40409748 49389692 50116011 51634678 54672012 66821348 74084538 77452017 100232022 103269356 111126807 148169076 150348033 154904034 200464044 222253614 232356051 283990729 300696066 309808068 444507228 464712102 567981458 601392132 851972187 929424204 1135962916 1703944374 2555916561 3407888748 5111833122 10223666244