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2243100420234 = 2333740114091987
BaseRepresentation
bin100000101001000011001…
…101000010100010001010
321221102211112011201222000
4200221003031002202022
5243222332201421414
64434244402411430
7321026055660642
oct40510315024212
97842745151860
102243100420234
117953257896a3
12302889960b76
131336a607a18b
147a7d0c05522
153d535216b09
hex20a4334288a

2243100420234 has 128 divisors (see below), whose sum is σ = 5138382009600. Its totient is φ = 724797849600.

The previous prime is 2243100420149. The next prime is 2243100420293. The reversal of 2243100420234 is 4320240013422.

2243100420234 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 1 + 0 + 0 + 420 + 234 = 666.

It is a super-2 number, since 2×22431004202342 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2243100420198 and 2243100420207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1128886989 + ... + 1128888975.

It is an arithmetic number, because the mean of its divisors is an integer number (40143609450).

Almost surely, 22243100420234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243100420234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569191004800).

2243100420234 is an abundant number, since it is smaller than the sum of its proper divisors (2895281589366).

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

2243100420234 is a wasteful number, since it uses less digits than its factorization.

2243100420234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2243100420234 its reverse (4320240013422), we get a palindrome (6563340433656).

The spelling of 2243100420234 in words is "two trillion, two hundred forty-three billion, one hundred million, four hundred twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 401 666 802 999 1203 1409 1987 1998 2406 2818 3609 3974 4227 5961 7218 8454 10827 11922 12681 14837 17883 21654 25362 29674 35766 38043 44511 52133 53649 73519 76086 89022 104266 107298 133533 147038 156399 220557 267066 312798 400599 441114 469197 565009 661671 796787 801198 938394 1130018 1323342 1407591 1593574 1695027 1985013 2390361 2799683 2815182 3390054 3970026 4780722 5085081 5599366 7171083 8399049 10170162 14342166 15255243 16798098 20905333 21513249 25197147 29481119 30510486 41810666 43026498 50394294 58962238 62715999 75591441 88443357 103588271 125431998 151182882 176886714 188147997 207176542 265330071 310764813 376295994 530660142 564443991 621529626 795990213 932294439 1122672883 1128887982 1591980426 1864588878 2245345766 2796883317 3368018649 5593766634 6736037298 10104055947 20208111894 30312167841 41538896671 60624335682 83077793342 124616690013 249233380026 373850070039 747700140078 1121550210117 2243100420234