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20331455200 = 2552710733931
BaseRepresentation
bin10010111011110110…
…010110001011100000
31221110221012221022021
4102323312112023200
5313114323031300
613201245351224
71316555342410
oct227366261340
957427187267
1020331455200
118693638241
123b34b68514
131bc0269b84
14dac326640
157dedded1a
hex4bbd962e0

20331455200 has 144 divisors (see below), whose sum is σ = 57256585344. Its totient is φ = 6905433600.

The previous prime is 20331455197. The next prime is 20331455203. The reversal of 20331455200 is 255413302.

It is an interprime number because it is at equal distance from previous prime (20331455197) and next prime (20331455203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331455203) 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, 582235 + ... + 616165.

It is an arithmetic number, because the mean of its divisors is an integer number (397615176).

Almost surely, 220331455200 is an apocalyptic number.

20331455200 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 20331455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28628292672).

20331455200 is an abundant number, since it is smaller than the sum of its proper divisors (36925130144).

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

20331455200 is a wasteful number, since it uses less digits than its factorization.

20331455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34065 (or 34052 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 20331455200 its reverse (255413302), we get a palindrome (20586868502).

The spelling of 20331455200 in words is "twenty billion, three hundred thirty-one million, four hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 107 112 140 160 175 200 214 224 280 350 400 428 535 560 700 749 800 856 1070 1120 1400 1498 1712 2140 2675 2800 2996 3424 3745 4280 5350 5600 5992 7490 8560 10700 11984 14980 17120 18725 21400 23968 29960 33931 37450 42800 59920 67862 74900 85600 119840 135724 149800 169655 237517 271448 299600 339310 475034 542896 599200 678620 848275 950068 1085792 1187585 1357240 1696550 1900136 2375170 2714480 3393100 3630617 3800272 4750340 5428960 5937925 6786200 7261234 7600544 9500680 11875850 13572400 14522468 18153085 19001360 23751700 25414319 27144800 29044936 36306170 38002720 47503400 50828638 58089872 72612340 90765425 95006800 101657276 116179744 127071595 145224680 181530850 190013600 203314552 254143190 290449360 363061700 406629104 508286380 580898720 635357975 726123400 813258208 1016572760 1270715950 1452246800 2033145520 2541431900 2904493600 4066291040 5082863800 10165727600 20331455200