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22344000222420 = 223251723317476559
BaseRepresentation
bin1010001010010010111100…
…01100100011010011010100
32221010001202210102021102100
411011021132030203103110
510412041003024104140
6115304405245442100
74464205104124212
oct505113614432324
987101683367370
1022344000222420
1171350456894a8
12260a500570330
13c610513c7c76
145736537cbcb2
1528b3432c5530
hex14525e3234d4

22344000222420 has 144 divisors (see below), whose sum is σ = 74883831160320. Its totient is φ = 5364083923968.

The previous prime is 22344000222391. The next prime is 22344000222463. The reversal of 22344000222420 is 2422200044322.

22344000222420 is a `hidden beast` number, since 2 + 2 + 34 + 400 + 0 + 2 + 224 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158667900 + ... + 158808659.

It is an arithmetic number, because the mean of its divisors is an integer number (520026605280).

Almost surely, 222344000222420 is an apocalyptic number.

22344000222420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22344000222420 is an abundant number, since it is smaller than the sum of its proper divisors (52539830937900).

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

22344000222420 is a wasteful number, since it uses less digits than its factorization.

22344000222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317476614 (or 317476609 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 22344000222420 its reverse (2422200044322), we get a palindrome (24766200266742).

The spelling of 22344000222420 in words is "twenty-two trillion, three hundred forty-four billion, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 30 34 36 45 46 51 60 68 69 85 90 92 102 115 138 153 170 180 204 207 230 255 276 306 340 345 391 414 460 510 612 690 765 782 828 1020 1035 1173 1380 1530 1564 1955 2070 2346 3060 3519 3910 4140 4692 5865 7038 7820 11730 14076 17595 23460 35190 70380 317476559 634953118 952429677 1269906236 1587382795 1904859354 2857289031 3174765590 3809718708 4762148385 5397101503 5714578062 6349531180 7301960857 9524296770 10794203006 11429156124 14286445155 14603921714 16191304509 19048593540 21588406012 21905882571 26985507515 28572890310 29207843428 32382609018 36509804285 43811765142 48573913527 53971015030 57145780620 64765218036 65717647713 73019608570 80956522545 87623530284 97147827054 107942030060 109529412855 124133334569 131435295426 146039217140 161913045090 194295654108 219058825710 242869567635 248266669138 262870590852 323826090180 328588238565 372400003707 438117651420 485739135270 496533338276 620666672845 657176477130 744800007414 971478270540 1117200011121 1241333345690 1314352954260 1489600014828 1862000018535 2234400022242 2482666691380 3724000037070 4468800044484 5586000055605 7448000074140 11172000111210 22344000222420