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22224420042400 = 255227780525053
BaseRepresentation
bin1010000110110100001101…
…01010010111011010100000
32220200122010001012201200001
411003122012222113122200
510403111103012324100
6115133431351305344
74452442563302602
oct503320652273240
986618101181601
1022224420042400
1170993617a7344
1225ab2a937b254
13c529a51a16b4
1456b94c129172
152881950ead6a
hex143686a976a0

22224420042400 has 36 divisors (see below), whose sum is σ = 54255365430462. Its totient is φ = 8889768016640.

The previous prime is 22224420042359. The next prime is 22224420042401. The reversal of 22224420042400 is 424002442222.

It can be written as a sum of positive squares in 3 ways, for example, as 21336897779344 + 887522263056 = 4619188^2 + 942084^2 .

It is not an unprimeable number, because it can be changed into a prime (22224420042401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13890261727 + ... + 13890263326.

Almost surely, 222224420042400 is an apocalyptic number.

22224420042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22224420042400 is an abundant number, since it is smaller than the sum of its proper divisors (32030945388062).

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

22224420042400 is a wasteful number, since it uses less digits than its factorization.

22224420042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27780525073 (or 27780525060 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 22224420042400 its reverse (424002442222), we get a palindrome (22648422484622).

The spelling of 22224420042400 in words is "twenty-two trillion, two hundred twenty-four billion, four hundred twenty million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 27780525053 55561050106 111122100212 138902625265 222244200424 277805250530 444488400848 555610501060 694513126325 888976801696 1111221002120 1389026252650 2222442004240 2778052505300 4444884008480 5556105010600 11112210021200 22224420042400