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22439102004 = 223311210931571
BaseRepresentation
bin10100111001011110…
…011000011000110100
32010220211010111012000
4110321132120120310
5331423402231004
614150335455300
71423030135314
oct247136303064
963824114160
1022439102004
119575319500
124422987530
132167b04467
14112c203444
158b4e67c39
hex539798634

22439102004 has 144 divisors (see below), whose sum is σ = 64044160320. Its totient is φ = 6789182400.

The previous prime is 22439102003. The next prime is 22439102099. The reversal of 22439102004 is 40020193422.

22439102004 is a `hidden beast` number, since 22 + 439 + 1 + 0 + 200 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22439102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14282539 + ... + 14284109.

Almost surely, 222439102004 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 22439102004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32022080160).

22439102004 is an abundant number, since it is smaller than the sum of its proper divisors (41605058316).

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

22439102004 is a wasteful number, since it uses less digits than its factorization.

22439102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 22439102004 its reverse (40020193422), we get a palindrome (62459295426).

The spelling of 22439102004 in words is "twenty-two billion, four hundred thirty-nine million, one hundred two thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1093 1188 1452 1571 2178 2186 3142 3267 3279 4356 4372 4713 6284 6534 6558 9426 9837 12023 13068 13116 14139 17281 18852 19674 24046 28278 29511 34562 36069 39348 42417 48092 51843 56556 59022 69124 72138 84834 103686 108207 118044 132253 144276 155529 169668 190091 207372 216414 264506 311058 324621 380182 396759 432828 466587 529012 570273 622116 649242 760364 793518 933174 1140546 1190277 1298484 1587036 1710819 1717103 1866348 2281092 2380554 3421638 3434206 3570831 4761108 5132457 5151309 6843276 6868412 7141662 10264914 10302618 14283324 15453927 18888133 20529828 20605236 30907854 37776266 46361781 56664399 61815708 75552532 92723562 113328798 169993197 185447124 207769463 226657596 339986394 415538926 509979591 623308389 679972788 831077852 1019959182 1246616778 1869925167 2039918364 2493233556 3739850334 5609775501 7479700668 11219551002 22439102004