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22400404400 = 2452115091001
BaseRepresentation
bin10100110111001010…
…110000101110110000
32010211010022110001102
4110313022300232300
5331334000420100
614142434223532
71422050203313
oct246712605660
963733273042
1022400404400
119555498410
124411a24ba8
13215caa567a
14112700c97a
158b1871cd5
hex5372b0bb0

22400404400 has 60 divisors (see below), whose sum is σ = 58709435064. Its totient is φ = 8145600000.

The previous prime is 22400404387. The next prime is 22400404409. The reversal of 22400404400 is 440400422.

It is a super-3 number, since 3×224004044003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22400404409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2541101 + ... + 2549900.

Almost surely, 222400404400 is an apocalyptic number.

22400404400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22400404400 is an abundant number, since it is smaller than the sum of its proper divisors (36309030664).

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

22400404400 is a wasteful number, since it uses less digits than its factorization.

22400404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091030 (or 5091019 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22400404400 its reverse (440400422), we get a palindrome (22840804822).

The spelling of 22400404400 in words is "twenty-two billion, four hundred million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 5091001 10182002 20364004 25455005 40728008 50910010 56001011 81456016 101820020 112002022 127275025 203640040 224004044 254550050 280005055 407280080 448008088 509100100 560010110 896016176 1018200200 1120020220 1400025275 2036400400 2240040440 2800050550 4480080880 5600101100 11200202200 22400404400