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2264130314622 = 2321123137906317
BaseRepresentation
bin100000111100101000101…
…011101110000101111110
322000110010010122001201100
4200330220223232011332
5244043414330031442
64452043242153530
7322402155064251
oct40745053560576
98013103561640
102264130314622
117a323759a600
123069787b28a6
13135677c2ab77
147b827bbb098
153dd665bb84c
hex20f28aee17e

2264130314622 has 144 divisors (see below), whose sum is σ = 5716502902656. Its totient is φ = 646022044800.

The previous prime is 2264130314597. The next prime is 2264130314623.

2264130314622 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 13 + 0 + 3 + 14 + 622 = 666.

2264130314622 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264130314623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2045008 + ... + 2951324.

It is an arithmetic number, because the mean of its divisors is an integer number (39697936824).

Almost surely, 22264130314622 is an apocalyptic number.

2264130314622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264130314622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858251451328).

2264130314622 is an abundant number, since it is smaller than the sum of its proper divisors (3452372588034).

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

2264130314622 is a wasteful number, since it uses less digits than its factorization.

2264130314622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906415 (or 906401 counting only the distinct ones).

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

It can be divided in two parts, 2264130 and 314622, that added together give a palindrome (2578752).

The spelling of 2264130314622 in words is "two trillion, two hundred sixty-four billion, one hundred thirty million, three hundred fourteen thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 37 62 66 74 93 99 111 121 186 198 222 242 279 333 341 363 407 558 666 682 726 814 1023 1089 1147 1221 2046 2178 2294 2442 3069 3441 3663 3751 4477 6138 6882 7326 7502 8954 10323 11253 12617 13431 20646 22506 25234 26862 33759 37851 40293 67518 75702 80586 113553 138787 227106 277574 416361 832722 906317 1249083 1812634 2498166 2718951 5437902 8156853 9969487 16313706 19938974 28095827 29908461 33533729 56191654 59816922 67067458 84287481 89725383 100601187 109664357 168574962 179450766 201202374 219328714 252862443 301803561 309054097 328993071 368871019 505724886 603607122 618108194 657986142 737742038 927162291 986979213 1039545599 1106613057 1854324582 1973958426 2079091198 2213226114 2781486873 3118636797 3319839171 3399595067 4057581209 5562973746 6237273594 6639678342 6799190134 8115162418 9355910391 10198785201 11435001589 12172743627 18711820782 20397570402 22870003178 24345487254 30596355603 34305004767 36518230881 61192711206 68610009534 73036461762 102915014301 125785017479 205830028602 251570034958 377355052437 754710104874 1132065157311 2264130314622