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2214226224122 = 2112291012157197
BaseRepresentation
bin100000001110001010001…
…010101110001111111010
321211200022020021121012012
4200032022022232033322
5242234213403132442
64413111304245522
7315654406236113
oct40161212561772
97750266247165
102214226224122
11784058a84800
122b916ba708a2
13130a53ccbb33
14792520d520a
153c8e536e582
hex2038a2ae3fa

2214226224122 has 144 divisors (see below), whose sum is σ = 3858159052440. Its totient is φ = 951158208000.

The previous prime is 2214226224113. The next prime is 2214226224149.

2214226224122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 1931958222601 + 282268001521 = 1389949^2 + 531289^2 .

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, 11239726928 + ... + 11239727124.

Almost surely, 22214226224122 is an apocalyptic number.

2214226224122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2214226224122 is a deficient number, since it is larger than the sum of its proper divisors (1643932828318).

2214226224122 is a wasteful number, since it uses less digits than its factorization.

2214226224122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 497 counting only the distinct ones).

The product of its digits is 24576, while the sum is 32.

The spelling of 2214226224122 in words is "two trillion, two hundred fourteen billion, two hundred twenty-six million, two hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 11 22 29 58 101 121 157 197 202 242 314 319 394 638 1111 1727 2167 2222 2929 3454 3509 4334 4553 5713 5858 7018 9106 10201 11426 12221 15857 18997 19897 20402 23837 24442 30929 31714 32219 37994 39794 47674 50083 61858 62843 64438 100166 112211 125686 174427 218867 224422 295829 340219 348854 354409 437734 459853 550913 577013 591658 680438 691273 708818 896941 919706 1101826 1154026 1234321 1382546 1601557 1793882 1918697 2009597 2407537 2468642 3123829 3203114 3254119 3742409 3837394 4019194 4815074 5058383 6247658 6347143 6508238 7484818 9866351 10116766 12694286 17617127 19732702 22105567 34362119 35234254 35795309 44211134 46445153 55642213 58278313 68724238 69818573 71590618 90591041 92890306 108529861 111284426 116556626 139637146 181182082 193788397 217059722 243161237 315506729 377983309 387576794 486322474 510896683 631013458 641061443 755966618 996501451 1021793366 1282122886 1993002902 3470574019 5619863513 6941148038 7051675873 9149695141 10961515961 11239727026 14103351746 18299390282 21923031922 38176314209 76352628418 100646646551 201293293102 1107113112061 2214226224122