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22320302130 = 2325727964067
BaseRepresentation
bin10100110010011001…
…001100100000110010
32010121112120211101200
4110302121030200302
5331202444132010
614130453312030
71420055303100
oct246231144062
963545524350
1022320302130
119514257395
1243ab035616
13214930a889
14111a51ac70
158a97eccc0
hex53264c832

22320302130 has 144 divisors (see below), whose sum is σ = 68363118720. Its totient is φ = 5037125184.

The previous prime is 22320302129. The next prime is 22320302153. The reversal of 22320302130 is 3120302322.

It is a happy number.

22320302130 is a `hidden beast` number, since 2 + 232 + 0 + 302 + 130 = 666.

22320302130 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223203021303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 316357 + ... + 380423.

It is an arithmetic number, because the mean of its divisors is an integer number (474743880).

Almost surely, 222320302130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320302130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181559360).

22320302130 is an abundant number, since it is smaller than the sum of its proper divisors (46042816590).

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

22320302130 is a wasteful number, since it uses less digits than its factorization.

22320302130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64173 (or 64163 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22320302130 its reverse (3120302322), we get a palindrome (25440604452).

The spelling of 22320302130 in words is "twenty-two billion, three hundred twenty million, three hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 79 90 98 105 126 147 158 210 237 245 294 315 395 441 474 490 553 630 711 735 790 882 1106 1185 1422 1470 1659 2205 2370 2765 3318 3555 3871 4410 4977 5530 7110 7742 8295 9954 11613 16590 19355 23226 24885 34839 38710 49770 58065 64067 69678 116130 128134 174195 192201 320335 348390 384402 448469 576603 640670 896938 961005 1153206 1345407 1922010 2242345 2690814 2883015 3139283 4036221 4484690 5061293 5766030 6278566 6727035 8072442 9417849 10122586 13454070 15183879 15696415 18835698 20181105 25306465 28253547 30367758 31392830 35429051 40362210 45551637 47089245 50612930 56507094 70858102 75919395 91103274 94178490 106287153 141267735 151838790 177145255 212574306 227758185 248003357 282535470 318861459 354290510 455516370 496006714 531435765 637722918 744010071 1062871530 1240016785 1488020142 1594307295 2232030213 2480033570 3188614590 3720050355 4464060426 7440100710 11160151065 22320302130