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20213322320 = 24517531931453
BaseRepresentation
bin10010110100110011…
…101101001001010000
31221011200221011110102
4102310303231021100
5312344102303240
613141425351532
71313622255602
oct226463551120
957150834412
1020213322320
118632991264
123b014985a8
131ba1947a69
14d9a775172
157d4857815
hex4b4ced250

20213322320 has 160 divisors (see below), whose sum is σ = 50997084192. Its totient is φ = 7422345216.

The previous prime is 20213322313. The next prime is 20213322329. The reversal of 20213322320 is 2322331202.

It can be written as a sum of positive squares in 16 ways, for example, as 10679824 + 20202642496 = 3268^2 + 142136^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20213322292 and 20213322301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20213322329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13910714 + ... + 13912166.

Almost surely, 220213322320 is an apocalyptic number.

20213322320 is a gapful number since it is divisible by the number (20) 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 20213322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25498542096).

20213322320 is an abundant number, since it is smaller than the sum of its proper divisors (30783761872).

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

20213322320 is a wasteful number, since it uses less digits than its factorization.

20213322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20213322320 its reverse (2322331202), we get a palindrome (22535653522).

The spelling of 20213322320 in words is "twenty billion, two hundred thirteen million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 193 212 265 272 340 386 424 530 680 772 848 901 965 1060 1360 1453 1544 1802 1930 2120 2906 3088 3281 3604 3860 4240 4505 5812 6562 7208 7265 7720 9010 10229 11624 13124 14416 14530 15440 16405 18020 20458 23248 24701 26248 29060 32810 36040 40916 49402 51145 52496 58120 65620 72080 77009 81832 98804 102290 116240 123505 131240 154018 163664 173893 197608 204580 247010 262480 280429 308036 347786 385045 395216 409160 494020 560858 616072 695572 770090 818320 869465 988040 1121716 1232144 1309153 1391144 1402145 1540180 1738930 1976080 2243432 2618306 2782288 2804290 3080360 3477860 4486864 4767293 5236612 5608580 6160720 6545765 6955720 9534586 10473224 11217160 13091530 13911440 14862737 19069172 20946448 22434320 23836465 26183060 29725474 38138344 47672930 52366120 59450948 74313685 76276688 95345860 104732240 118901896 148627370 190691720 237803792 252666529 297254740 381383440 505333058 594509480 1010666116 1189018960 1263332645 2021332232 2526665290 4042664464 5053330580 10106661160 20213322320