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20228404824 = 23324713145631
BaseRepresentation
bin10010110101101101…
…001111011001011000
31221012202022102202200
4102311231033121120
5312411432423244
613143124530200
71314164414115
oct226555173130
957182272680
1020228404824
118640452a41
123b06550960
131ba4ac8b14
14d9c77d90c
157d5d36669
hex4b5b4f658

20228404824 has 96 divisors (see below), whose sum is σ = 56379248640. Its totient is φ = 6548817600.

The previous prime is 20228404813. The next prime is 20228404837. The reversal of 20228404824 is 42840482202.

It is a happy number.

20228404824 is a `hidden beast` number, since 2 + 0 + 228 + 404 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420489 + ... + 466119.

It is an arithmetic number, because the mean of its divisors is an integer number (587283840).

Almost surely, 220228404824 is an apocalyptic number.

20228404824 is a gapful number since it is divisible by the number (24) 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 20228404824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28189624320).

20228404824 is an abundant number, since it is smaller than the sum of its proper divisors (36150843816).

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

20228404824 is a wasteful number, since it uses less digits than its factorization.

20228404824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45821 (or 45814 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 20228404824 in words is "twenty billion, two hundred twenty-eight million, four hundred four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 131 141 188 262 282 376 393 423 524 564 786 846 1048 1128 1179 1572 1692 2358 3144 3384 4716 6157 9432 12314 18471 24628 36942 45631 49256 55413 73884 91262 110826 136893 147768 182524 221652 273786 365048 410679 443304 547572 821358 1095144 1642716 2144657 3285432 4289314 5977661 6433971 8578628 11955322 12867942 17157256 17932983 19301913 23910644 25735884 35865966 38603826 47821288 51471768 53798949 71731932 77207652 107597898 143463864 154415304 215195796 280950067 430391592 561900134 842850201 1123800268 1685700402 2247600536 2528550603 3371400804 5057101206 6742801608 10114202412 20228404824