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2206051000 = 235337109547
BaseRepresentation
bin1000001101111101…
…1010101010111000
312200202002000001121
42003133122222320
514004222113000
61002523155024
7105445060366
oct20337325270
95622060047
102206051000
11a3229284a
12516975a74
1329206c92a
1416cdb4636
15cda14b1a
hex837daab8

2206051000 has 128 divisors (see below), whose sum is σ = 5360097600. Its totient is φ = 849139200.

The previous prime is 2206050983. The next prime is 2206051009. The reversal of 2206051000 is 1506022.

It is a happy number.

It is a super-2 number, since 2×22060510002 = 9733322029202000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206051009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4032727 + ... + 4033273.

Almost surely, 22206051000 is an apocalyptic number.

2206051000 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 2206051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680048800).

2206051000 is an abundant number, since it is smaller than the sum of its proper divisors (3154046600).

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

2206051000 is a wasteful number, since it uses less digits than its factorization.

2206051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2206051000 is about 46968.6171821143. The cubic root of 2206051000 is about 1301.7827611850.

Adding to 2206051000 its reverse (1506022), we get a palindrome (2207557022).

The spelling of 2206051000 in words is "two billion, two hundred six million, fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 109 125 148 185 200 218 250 296 370 436 500 545 547 740 872 925 1000 1090 1094 1480 1850 2180 2188 2725 2735 3700 4033 4360 4376 4625 5450 5470 7400 8066 9250 10900 10940 13625 13675 16132 18500 20165 20239 21800 21880 27250 27350 32264 37000 40330 40478 54500 54700 59623 68375 80660 80956 100825 101195 109000 109400 119246 136750 161320 161912 201650 202390 238492 273500 298115 403300 404780 476984 504125 505975 547000 596230 806600 809560 1008250 1011950 1192460 1490575 2016500 2023900 2206051 2384920 2529875 2981150 4033000 4047800 4412102 5059750 5962300 7452875 8824204 10119500 11030255 11924600 14905750 17648408 20239000 22060510 29811500 44121020 55151275 59623000 88242040 110302550 220605100 275756375 441210200 551512750 1103025500 2206051000