Search a number
-
+
22030237813506 = 23134323351195507
BaseRepresentation
bin1010000001001010100000…
…11111111100101100000010
32220000001220011002102210120
411000211100133330230002
510341420411340013011
6114504315044241110
74432426554503436
oct500452037745402
986001804072716
1022030237813506
117023a75a1173a
1225797360a0196
13c3a59a276a40
145623aa97c9c6
152830cc7b5a06
hex1409507fcb02

22030237813506 has 128 divisors (see below), whose sum is σ = 48779990138880. Its totient is φ = 6589993794048.

The previous prime is 22030237813411. The next prime is 22030237813523. The reversal of 22030237813506 is 60531873203022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4000403605 + ... + 4000409111.

It is an arithmetic number, because the mean of its divisors is an integer number (381093672960).

Almost surely, 222030237813506 is an apocalyptic number.

22030237813506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22030237813506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24389995069440).

22030237813506 is an abundant number, since it is smaller than the sum of its proper divisors (26749752325374).

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

22030237813506 is a wasteful number, since it uses less digits than its factorization.

22030237813506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920.

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 22030237813506 in words is "twenty-two trillion, thirty billion, two hundred thirty-seven million, eight hundred thirteen thousand, five hundred six".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 233 258 466 559 699 1118 1398 1677 3029 3354 5119 5507 6058 9087 10019 10238 11014 15357 16521 18174 20038 30057 30714 33042 60114 66547 71591 130247 133094 143182 199641 214773 220117 236801 260494 390741 399282 429546 440234 473602 660351 710403 781482 1192727 1283131 1320702 1420806 2385454 2566262 2861521 3078413 3578181 3849393 5723042 6156826 7156362 7698786 8584563 9235239 15505451 16680703 17169126 18470478 28190333 31010902 33361406 46516353 50042109 51287261 55174633 56380666 84570999 93032706 100084218 102574522 110349266 153861783 165523899 169141998 307723566 331047798 366474329 666734393 717270229 732948658 1099422987 1212184319 1333468786 1434540458 2000203179 2151810687 2198845974 2424368638 3636552957 4000406358 4303621374 6568347589 7273105914 13136695178 15758396147 19705042767 31516792294 39410085534 47275188441 85388518657 94550376882 170777037314 256165555971 282438946327 512331111942 564877892654 847316838981 1694633677962 3671706302251 7343412604502 11015118906753 22030237813506