Search a number
-
+
2000220213000 = 23353774186131
BaseRepresentation
bin11101000110110110011…
…010100100111100001000
321002012220210012211102010
4131012312122210330020
5230232422333304000
64130515524535520
7264340215166332
oct35066632447410
97065823184363
102000220213000
1170131a18a0a9
122837a58515a0
1311680a077a19
146cb4dc14452
153706c4cad50
hex1d1b66a4f08

2000220213000 has 128 divisors (see below), whose sum is σ = 6241565715840. Its totient is φ = 533316960000.

The previous prime is 2000220212951. The next prime is 2000220213029. The reversal of 2000220213000 is 3120220002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23179935 + ... + 23266065.

It is an arithmetic number, because the mean of its divisors is an integer number (48762232155).

Almost surely, 22000220213000 is an apocalyptic number.

2000220213000 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 2000220213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120782857920).

2000220213000 is an abundant number, since it is smaller than the sum of its proper divisors (4241345502840).

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

2000220213000 is a wasteful number, since it uses less digits than its factorization.

2000220213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93896 (or 93882 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2000220213000 its reverse (3120220002), we get a palindrome (2003340433002).

The spelling of 2000220213000 in words is "two trillion, two hundred twenty million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7741 15482 23223 30964 38705 46446 61928 77410 86131 92892 116115 154820 172262 185784 193525 232230 258393 309640 344524 387050 430655 464460 516786 580575 689048 774100 861310 928920 967625 1033572 1161150 1291965 1548200 1722620 1935250 2067144 2153275 2322300 2583930 2902875 3445240 3870500 4306550 4644600 5167860 5805750 6459825 7741000 8613100 10335720 10766375 11611500 12919650 17226200 21532750 23223000 25839300 32299125 43065500 51678600 64598250 86131000 129196500 258393000 666740071 1333480142 2000220213 2666960284 3333700355 4000440426 5333920568 6667400710 8000880852 10001101065 13334801420 16001761704 16668501775 20002202130 26669602840 33337003550 40004404260 50005505325 66674007100 80008808520 83342508875 100011010650 133348014200 166685017750 200022021300 250027526625 333370035500 400044042600 500055053250 666740071000 1000110106500 2000220213000