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22430131221402 = 23229887105146093
BaseRepresentation
bin1010001100110011011000…
…00000001111001110011010
32221102022002102002100220200
411012121230000033032122
510414443402043041102
6115412132100003030
74503344363415342
oct506315400171632
987368072070820
1022430131221402
11716862435a893
122623139690476
13c691c97a3c18
145778a4915d22
1528d6d4b5651c
hex14666c00f39a

22430131221402 has 96 divisors (see below), whose sum is σ = 50380092996480. Its totient is φ = 7203737116800.

The previous prime is 22430131221347. The next prime is 22430131221467. The reversal of 22430131221402 is 20412213103422.

22430131221402 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 0 + 1 + 31 + 221 + 402 = 666.

It is a super-2 number, since 2×224301312214022 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486604668 + ... + 486650760.

It is an arithmetic number, because the mean of its divisors is an integer number (524792635380).

Almost surely, 222430131221402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22430131221402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190046498240).

22430131221402 is an abundant number, since it is smaller than the sum of its proper divisors (27949961775078).

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

22430131221402 is a wasteful number, since it uses less digits than its factorization.

22430131221402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48068 (or 48065 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22430131221402 its reverse (20412213103422), we get a palindrome (42842344324824).

The spelling of 22430131221402 in words is "twenty-two trillion, four hundred thirty billion, one hundred thirty-one million, two hundred twenty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 887 1051 1774 2102 2661 3153 5322 6306 7983 9459 15966 18918 25723 30479 46093 51446 60958 77169 91437 92186 138279 154338 182874 231507 274311 276558 414837 463014 548622 829674 932237 1336697 1864474 2673394 2796711 4010091 5593422 8020182 8390133 12030273 16780266 24060546 27034873 40884491 48443743 54069746 81104619 81768982 96887486 122653473 145331229 162209238 243313857 245306946 290662458 367960419 435993687 486627714 735920838 871987374 1185650239 1404868547 2371300478 2809737094 3556950717 4214605641 7113901434 8429211282 10670852151 12643816923 21341704302 25287633846 42969600041 85939200082 128908800123 257817600246 386726400369 773452800738 1246118401189 2492236802378 3738355203567 7476710407134 11215065610701 22430131221402