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20104022224 = 24112133721589
BaseRepresentation
bin10010101110010010…
…110000100011010000
31220220002021010220201
4102232102300203100
5312133112202344
613122522544544
71311124240456
oct225622604320
956802233821
1020104022224
118587218500
123a90968154
131b850c9150
14d8a0429d6
157c9e674d4
hex4ae4b08d0

20104022224 has 120 divisors (see below), whose sum is σ = 47356283240. Its totient is φ = 8206894080.

The previous prime is 20104022221. The next prime is 20104022249. The reversal of 20104022224 is 42222040102.

It can be written as a sum of positive squares in 4 ways, for example, as 3221697600 + 16882324624 = 56760^2 + 129932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20104022221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920422 + ... + 942010.

Almost surely, 220104022224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104022224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23678141620).

20104022224 is an abundant number, since it is smaller than the sum of its proper divisors (27252261016).

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

20104022224 is a wasteful number, since it uses less digits than its factorization.

20104022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21669 (or 21652 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 20104022224 its reverse (42222040102), we get a palindrome (62326062326).

The spelling of 20104022224 in words is "twenty billion, one hundred four million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 121 143 148 176 208 242 286 296 407 481 484 572 592 814 962 968 1144 1573 1628 1924 1936 2288 3146 3256 3848 4477 5291 6292 6512 7696 8954 10582 12584 17908 21164 21589 25168 35816 42328 43178 58201 71632 84656 86356 116402 172712 232804 237479 280657 345424 465608 474958 561314 798793 931216 949916 1122628 1597586 1899832 2245256 2612269 3087227 3195172 3799664 4490512 5224538 6174454 6390344 8786723 10384309 10449076 12348908 12780688 17573446 20768618 20898152 24697816 33959497 35146892 41537236 41796304 49395632 67918994 70293784 83074472 96653953 114227399 135837988 140587568 166148944 193307906 228454798 271675976 386615812 456909596 543351952 773231624 913819192 1256501389 1546463248 1827638384 2513002778 5026005556 10052011112 20104022224