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20143503200 = 2552731312633
BaseRepresentation
bin10010110000101001…
…010111011101100000
31220222211112222122002
4102300221113131200
5312223214100300
613130453103132
71312113644402
oct226051273540
956884488562
1020143503200
1185a7534107
123aa2027aa8
131b90340682
14d9139cb72
157cd6655d5
hex4b0a57760

20143503200 has 144 divisors (see below), whose sum is σ = 50248565136. Its totient is φ = 7883366400.

The previous prime is 20143503197. The next prime is 20143503203. The reversal of 20143503200 is 230534102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20143503197) and next prime (20143503203).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20143503203) 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, 7649084 + ... + 7651716.

It is an arithmetic number, because the mean of its divisors is an integer number (348948369).

Almost surely, 220143503200 is an apocalyptic number.

20143503200 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 20143503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25124282568).

20143503200 is an abundant number, since it is smaller than the sum of its proper divisors (30105061936).

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

20143503200 is a wasteful number, since it uses less digits than its factorization.

20143503200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 20143503200 in words is "twenty billion, one hundred forty-three million, five hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 131 146 160 200 262 292 365 400 524 584 655 730 800 1048 1168 1310 1460 1825 2096 2336 2620 2633 2920 3275 3650 4192 5240 5266 5840 6550 7300 9563 10480 10532 11680 13100 13165 14600 19126 20960 21064 26200 26330 29200 38252 42128 47815 52400 52660 58400 65825 76504 84256 95630 104800 105320 131650 153008 191260 192209 210640 239075 263300 306016 344923 382520 384418 421280 478150 526600 689846 765040 768836 956300 961045 1053200 1379692 1530080 1537672 1724615 1912600 1922090 2106400 2759384 3075344 3449230 3825200 3844180 4805225 5518768 6150688 6898460 7650400 7688360 8623075 9610450 11037536 13796920 15376720 17246150 19220900 25179379 27593840 30753440 34492300 38441800 50358758 55187680 68984600 76883600 100717516 125896895 137969200 153767200 201435032 251793790 275938400 402870064 503587580 629484475 805740128 1007175160 1258968950 2014350320 2517937900 4028700640 5035875800 10071751600 20143503200