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22253521233144 = 23343251727118171
BaseRepresentation
bin1010000111101010011010…
…01110100110010011111000
32220210102020011020101112110
411003311031032212103320
510404100202413430034
6115155043155012320
74454523000322365
oct503651516462370
986712204211473
1022253521233144
1170aa735651703
1225b4a6b29a0a0
13c556622990a6
1456d10d04746c
15288ce9d80de9
hex143d4d3a64f8

22253521233144 has 128 divisors (see below), whose sum is σ = 57233516820480. Its totient is φ = 7206479280000.

The previous prime is 22253521233079. The next prime is 22253521233169. The reversal of 22253521233144 is 44133212535222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188257179 + ... + 188375349.

It is an arithmetic number, because the mean of its divisors is an integer number (447136850160).

Almost surely, 222253521233144 is an apocalyptic number.

22253521233144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22253521233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28616758410240).

22253521233144 is an abundant number, since it is smaller than the sum of its proper divisors (34979995587336).

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

22253521233144 is a wasteful number, since it uses less digits than its factorization.

22253521233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119201 (or 119197 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

Adding to 22253521233144 its reverse (44133212535222), we get a palindrome (66386733768366).

The spelling of 22253521233144 in words is "twenty-two trillion, two hundred fifty-three billion, five hundred twenty-one million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 251 258 344 502 516 727 753 1004 1032 1454 1506 2008 2181 2908 3012 4362 5816 6024 8724 10793 17448 21586 31261 32379 43172 62522 64758 86344 93783 118171 125044 129516 182477 187566 236342 250088 259032 354513 364954 375132 472684 547431 709026 729908 750264 945368 1094862 1418052 1459816 2189724 2836104 4379448 5081353 7846511 10162706 15244059 15693022 20325412 23539533 29660921 30488118 31386044 40650824 47079066 59321842 60976236 62772088 85910317 88982763 94158132 118643684 121952472 171820634 177965526 188316264 237287368 257730951 343641268 355931052 515461902 687282536 711862104 1030923804 1275419603 2061847608 2550839206 3694143631 3826258809 5101678412 7388287262 7652517618 10203356824 11082430893 14776574524 15305035236 21563489567 22164861786 29553149048 30610070472 43126979134 44329723572 64690468701 86253958268 88659447144 129380937402 172507916536 258761874804 517523749608 927230051381 1854460102762 2781690154143 3708920205524 5563380308286 7417840411048 11126760616572 22253521233144