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22401404224 = 261171729873
BaseRepresentation
bin10100110111001110…
…100100110101000000
32010211012012020112221
4110313032210311000
5331334224413344
614142511500424
71422061536253
oct246716446500
963735166487
1022401404224
119556010611
124412227714
132160065794
1411271cd09a
158b19bd184
hex5373a4d40

22401404224 has 28 divisors (see below), whose sum is σ = 44458068564. Its totient is φ = 11199371264.

The previous prime is 22401404197. The next prime is 22401404243. The reversal of 22401404224 is 42240410422.

It can be written as a sum of positive squares in 2 ways, for example, as 9729849600 + 12671554624 = 98640^2 + 112568^2 .

It is a super-2 number, since 2×224014042242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 734952 + ... + 764824.

It is an arithmetic number, because the mean of its divisors is an integer number (1587788163).

Almost surely, 222401404224 is an apocalyptic number.

It is an amenable number.

22401404224 is a deficient number, since it is larger than the sum of its proper divisors (22056664340).

22401404224 is a wasteful number, since it uses less digits than its factorization.

22401404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41602 (or 41592 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 22401404224 its reverse (42240410422), we get a palindrome (64641814646).

The spelling of 22401404224 in words is "twenty-two billion, four hundred one million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 11717 23434 29873 46868 59746 93736 119492 187472 238984 374944 477968 749888 955936 1911872 350021941 700043882 1400087764 2800175528 5600351056 11200702112 22401404224