Search a number
-
+
1000212200 = 235213384697
BaseRepresentation
bin111011100111100…
…000011011101000
32120201002001012022
4323213200123220
54022023242300
6243130004012
733533443361
oct7347403350
92521061168
101000212200
11473659259
1223ab76608
1312c2b2950
1496ba4b68
155cc24285
hex3b9e06e8

1000212200 has 48 divisors (see below), whose sum is σ = 2504383980. Its totient is φ = 369308160.

The previous prime is 1000212197. The next prime is 1000212211. The reversal of 1000212200 is 22120001.

It can be written as a sum of positive squares in 6 ways, for example, as 329712964 + 670499236 = 18158^2 + 25894^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189749 + ... + 194948.

Almost surely, 21000212200 is an apocalyptic number.

1000212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000212200 is an abundant number, since it is smaller than the sum of its proper divisors (1504171780).

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

1000212200 is a wasteful number, since it uses less digits than its factorization.

1000212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384726 (or 384717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1000212200 is about 31626.1316003080. The cubic root of 1000212200 is about 1000.0707283307.

Adding to 1000212200 its reverse (22120001), we get a palindrome (1022332201).

The spelling of 1000212200 in words is "one billion, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 384697 769394 1538788 1923485 3077576 3846970 5001061 7693940 9617425 10002122 15387880 19234850 20004244 25005305 38469700 40008488 50010610 76939400 100021220 125026525 200042440 250053050 500106100 1000212200