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200321000240 = 245101103240701
BaseRepresentation
bin1011101010010000001…
…1111110001100110000
3201011001201022012001012
42322210003332030300
511240224134001430
6232005354130052
720321066256524
oct2724403761460
9634051265035
10200321000240
1177a56a89459
12329a7120928
1315b7599074a
1499a499dd84
155326730695
hex2ea40fe330

200321000240 has 80 divisors (see below), whose sum is σ = 474926227776. Its totient is φ = 78564480000.

The previous prime is 200321000239. The next prime is 200321000263. The reversal of 200321000240 is 42000123002.

Adding to 200321000240 its reverse (42000123002), we get a palindrome (242321123242).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711890 + ... + 952590.

Almost surely, 2200321000240 is an apocalyptic number.

200321000240 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 200321000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237463113888).

200321000240 is an abundant number, since it is smaller than the sum of its proper divisors (274605227536).

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

200321000240 is a wasteful number, since it uses less digits than its factorization.

200321000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240918 (or 240912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The spelling of 200321000240 in words is "two hundred billion, three hundred twenty-one million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 101 103 202 206 404 412 505 515 808 824 1010 1030 1616 1648 2020 2060 4040 4120 8080 8240 10403 20806 41612 52015 83224 104030 166448 208060 240701 416120 481402 832240 962804 1203505 1925608 2407010 3851216 4814020 9628040 19256080 24310801 24792203 48621602 49584406 97243204 99168812 121554005 123961015 194486408 198337624 243108010 247922030 388972816 396675248 486216020 495844060 972432040 991688120 1944864080 1983376240 2504012503 5008025006 10016050012 12520062515 20032100024 25040125030 40064200048 50080250060 100160500120 200321000240