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200212871040 = 2735572134347
BaseRepresentation
bin1011101001110110011…
…1011111011110000000
3201010210011211122200000
42322131213133132000
511240013443333130
6231550532400000
720315314216200
oct2723547373600
9633704748600
10200212871040
1177a00a45386
1232976a76000
1315b59461a80
149994494400
15531bec2260
hex2e9d9df780

200212871040 has 2304 divisors, whose sum is σ = 938619601920. Its totient is φ = 40382447616.

The previous prime is 200212871039. The next prime is 200212871063. The reversal of 200212871040 is 40178212002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200212870995 and 200212871013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4259848297 + ... + 4259848343.

It is an arithmetic number, because the mean of its divisors is an integer number (407386980).

Almost surely, 2200212871040 is an apocalyptic number.

200212871040 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 200212871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469309800960).

200212871040 is an abundant number, since it is smaller than the sum of its proper divisors (738406730880).

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

200212871040 is a wasteful number, since it uses less digits than its factorization.

200212871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 200212871040 in words is "two hundred billion, two hundred twelve million, eight hundred seventy-one thousand, forty".