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20424221000 = 2353191815939
BaseRepresentation
bin10011000001011000…
…001110000101001000
31221201101202221001122
4103001120032011020
5313312100033000
613214401534412
71322063004551
oct230130160510
957641687048
1020424221000
118730a38597
123b60044408
131c06549991
14dba793328
157e8116085
hex4c160e148

20424221000 has 128 divisors (see below), whose sum is σ = 50594544000. Its totient is φ = 7695648000.

The previous prime is 20424220967. The next prime is 20424221011. The reversal of 20424221000 is 12242402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20424221000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3436031 + ... + 3441969.

It is an arithmetic number, because the mean of its divisors is an integer number (395269875).

Almost surely, 220424221000 is an apocalyptic number.

20424221000 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 20424221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25297272000).

20424221000 is an abundant number, since it is smaller than the sum of its proper divisors (30170323000).

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

20424221000 is a wasteful number, since it uses less digits than its factorization.

20424221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20424221000 its reverse (12242402), we get a palindrome (20436463402).

The spelling of 20424221000 in words is "twenty billion, four hundred twenty-four million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 181 190 200 250 362 380 475 500 724 760 905 950 1000 1448 1810 1900 2375 3439 3620 3800 4525 4750 5939 6878 7240 9050 9500 11878 13756 17195 18100 19000 22625 23756 27512 29695 34390 36200 45250 47512 59390 68780 85975 90500 112841 118780 137560 148475 171950 181000 225682 237560 296950 343900 429875 451364 564205 593900 687800 742375 859750 902728 1074959 1128410 1187800 1484750 1719500 2149918 2256820 2821025 2969500 3439000 4299836 4513640 5374795 5642050 5939000 8599672 10749590 11284100 14105125 20424221 21499180 22568200 26873975 28210250 40848442 42998360 53747950 56420500 81696884 102121105 107495900 112841000 134369875 163393768 204242210 214991800 268739750 408484420 510605525 537479500 816968840 1021211050 1074959000 2042422100 2553027625 4084844200 5106055250 10212110500 20424221000