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5606220400 = 2452112115831
BaseRepresentation
bin1010011100010100…
…00010001001110000
3112110201002111121121
411032022002021300
542440143023100
62324144432024
7255633041614
oct51612021160
915421074547
105606220400
112417624400
121105618614
136b46248a1
143b27c7344
1522c2a251a
hex14e282270

5606220400 has 90 divisors (see below), whose sum is σ = 14804835416. Its totient is φ = 2038608000.

The previous prime is 5606220391. The next prime is 5606220401. The reversal of 5606220400 is 40226065.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5606220401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9516 + ... + 106315.

Almost surely, 25606220400 is an apocalyptic number.

5606220400 is a gapful number since it is divisible by the number (50) 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 5606220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402417708).

5606220400 is an abundant number, since it is smaller than the sum of its proper divisors (9198615016).

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

5606220400 is a wasteful number, since it uses less digits than its factorization.

5606220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115871 (or 115849 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 5606220400 is about 74874.6979960520. The cubic root of 5606220400 is about 1776.4652742368.

Adding to 5606220400 its reverse (40226065), we get a palindrome (5646446465).

The spelling of 5606220400 in words is "five billion, six hundred six million, two hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 115831 231662 463324 579155 926648 1158310 1274141 1853296 2316620 2548282 2895775 4633240 5096564 5791550 6370705 9266480 10193128 11583100 12741410 14015551 20386256 23166200 25482820 28031102 31853525 46332400 50965640 56062204 63707050 70077755 101931280 112124408 127414100 140155510 224248816 254828200 280311020 350388775 509656400 560622040 700777550 1121244080 1401555100 2803110200 5606220400