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22400222200422 = 23115910177373681
BaseRepresentation
bin1010001011111011101010…
…10010011000001001100110
32221022102212222222200021220
411011331311102120021212
510414001123340403142
6115350304153521210
74501235250060423
oct505756522301146
987272788880256
1022400222200422
117156976506730
122619391113206
13c66441214581
145762685d0d4a
1528ca33eee2ec
hex145f75498266

22400222200422 has 128 divisors (see below), whose sum is σ = 50259282071040. Its totient is φ = 6598191360000.

The previous prime is 22400222200397. The next prime is 22400222200457.

22400222200422 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22400222200392 and 22400222200401.

It is a congruent number.

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, 303979422 + ... + 304053102.

It is an arithmetic number, because the mean of its divisors is an integer number (392650641180).

Almost surely, 222400222200422 is an apocalyptic number.

22400222200422 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 22400222200422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25129641035520).

22400222200422 is an abundant number, since it is smaller than the sum of its proper divisors (27859059870618).

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

22400222200422 is a wasteful number, since it uses less digits than its factorization.

22400222200422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74630.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 2240022 and 2200422, that added together give a palindrome (4440444).

The spelling of 22400222200422 in words is "twenty-two trillion, four hundred billion, two hundred twenty-two million, two hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 59 66 101 118 177 202 303 354 606 649 773 1111 1298 1546 1947 2222 2319 3333 3894 4638 5959 6666 8503 11918 17006 17877 25509 35754 45607 51018 65549 73681 78073 91214 131098 136821 147362 156146 196647 221043 234219 273642 393294 442086 468438 501677 810491 858803 1003354 1505031 1620982 1717606 2431473 2576409 3010062 4347179 4606307 4862946 5152818 7441781 8694358 9212614 13041537 13818921 14883562 22325343 26083074 27637842 44650686 47818969 50669377 56955413 81859591 95637938 101338754 113910826 143456907 152008131 163719182 170866239 245578773 286913814 304016262 341732478 439065079 491157546 626509543 878130158 1253019086 1317195237 1879528629 2634390474 3360369367 3759057258 4829715869 5752496713 6720738734 9659431738 10081108101 11504993426 14489147607 17257490139 20162216202 28978295214 34514980278 36964063037 63277463843 73928126074 110892189111 126554927686 189832391529 221784378222 339397306067 379664783058 678794612134 1018191918201 2036383836402 3733370366737 7466740733474 11200111100211 22400222200422