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20142222300 = 223252149150203
BaseRepresentation
bin10010110000100100…
…011110101111011100
31220222202010220120100
4102300210132233130
5312222402103200
613130405421100
71312100031114
oct226044365734
956882126510
1020142222300
1185a6839812
123aa170a790
131b8ccb2645
14d91148044
157cd4b0d00
hex4b091ebdc

20142222300 has 108 divisors (see below), whose sum is σ = 63558822600. Its totient is φ = 5335175040.

The previous prime is 20142222277. The next prime is 20142222337. The reversal of 20142222300 is 322224102.

20142222300 is a `hidden beast` number, since 2 + 0 + 142 + 222 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58999 + ... + 209201.

Almost surely, 220142222300 is an apocalyptic number.

20142222300 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 20142222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31779411300).

20142222300 is an abundant number, since it is smaller than the sum of its proper divisors (43416600300).

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

20142222300 is a wasteful number, since it uses less digits than its factorization.

20142222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150372 (or 150362 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20142222300 its reverse (322224102), we get a palindrome (20464446402).

The spelling of 20142222300 in words is "twenty billion, one hundred forty-two million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 149 150 180 225 298 300 447 450 596 745 894 900 1341 1490 1788 2235 2682 2980 3725 4470 5364 6705 7450 8940 11175 13410 14900 22350 26820 33525 44700 67050 134100 150203 300406 450609 600812 751015 901218 1351827 1502030 1802436 2253045 2703654 3004060 3755075 4506090 5407308 6759135 7510150 9012180 11265225 13518270 15020300 22380247 22530450 27036540 33795675 44760494 45060900 67140741 67591350 89520988 111901235 134281482 135182700 201422223 223802470 268562964 335703705 402844446 447604940 559506175 671407410 805688892 1007111115 1119012350 1342814820 1678518525 2014222230 2238024700 3357037050 4028444460 5035555575 6714074100 10071111150 20142222300