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2200212001000 = 235313169247077
BaseRepresentation
bin100000000001000110110…
…110101101000011101000
321210100010120001022011101
4200001012312231003220
5242022013233013000
64402432523011144
7314650206301546
oct40010666550350
97710116038141
102200212001000
11779117351522
122b64ba669ab4
1312c62c780110
14786c2b98d96
153c374d7be6a
hex20046dad0e8

2200212001000 has 64 divisors (see below), whose sum is σ = 5544534275280. Its totient is φ = 812385964800.

The previous prime is 2200212000983. The next prime is 2200212001021. The reversal of 2200212001000 is 1002120022.

It can be written as a sum of positive squares in 8 ways, for example, as 285470078436 + 1914741922564 = 534294^2 + 1383742^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 84610539 + ... + 84636538.

Almost surely, 22200212001000 is an apocalyptic number.

2200212001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200212001000 is an abundant number, since it is smaller than the sum of its proper divisors (3344322274280).

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

2200212001000 is a wasteful number, since it uses less digits than its factorization.

2200212001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169247111 (or 169247097 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2200212001000 its reverse (1002120022), we get a palindrome (2201214121022).

The spelling of 2200212001000 in words is "two trillion, two hundred billion, two hundred twelve million, one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 169247077 338494154 676988308 846235385 1353976616 1692470770 2200212001 3384941540 4231176925 4400424002 6769883080 8462353850 8800848004 11001060005 16924707700 17601696008 21155884625 22002120010 33849415400 42311769250 44004240020 55005300025 84623538500 88008480040 110010600050 169247077000 220021200100 275026500125 440042400200 550053000250 1100106000500 2200212001000