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20252914200 = 23325219158909
BaseRepresentation
bin10010110111001010…
…101111001000011000
31221021110102122022100
4102313022233020120
5312434221223300
613145402123400
71314612634041
oct226712571030
957243378270
1020252914200
118653273222
123b127b0560
131ba9bca8cc
14da1b1d8c8
157d8078700
hex4b72af218

20252914200 has 144 divisors (see below), whose sum is σ = 68373302400. Its totient is φ = 5372409600.

The previous prime is 20252914163. The next prime is 20252914259. The reversal of 20252914200 is 241925202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 314346 + ... + 373254.

It is an arithmetic number, because the mean of its divisors is an integer number (474814600).

Almost surely, 220252914200 is an apocalyptic number.

20252914200 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 20252914200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34186651200).

20252914200 is an abundant number, since it is smaller than the sum of its proper divisors (48120388200).

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

20252914200 is a wasteful number, since it uses less digits than its factorization.

20252914200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59122 (or 59110 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20252914200 in words is "twenty billion, two hundred fifty-two million, nine hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 191 200 225 300 360 382 450 573 600 764 900 955 1146 1528 1719 1800 1910 2292 2865 3438 3820 4584 4775 5730 6876 7640 8595 9550 11460 13752 14325 17190 19100 22920 28650 34380 38200 42975 57300 58909 68760 85950 114600 117818 171900 176727 235636 294545 343800 353454 471272 530181 589090 706908 883635 1060362 1178180 1413816 1472725 1767270 2120724 2356360 2650905 2945450 3534540 4241448 4418175 5301810 5890900 7069080 8836350 10603620 11251619 11781800 13254525 17672700 21207240 22503238 26509050 33754857 35345400 45006476 53018100 56258095 67509714 90012952 101264571 106036200 112516190 135019428 168774285 202529142 225032380 270038856 281290475 337548570 405058284 450064760 506322855 562580950 675097140 810116568 843871425 1012645710 1125161900 1350194280 1687742850 2025291420 2250323800 2531614275 3375485700 4050582840 5063228550 6750971400 10126457100 20252914200