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1004212200 = 2335223531373
BaseRepresentation
bin111011110110110…
…000111111101000
32120222121021011110
4323312300333220
54024034242300
6243351430320
733612443235
oct7366607750
92528537143
101004212200
11475940542
122403853a0
13130083504
149752678c
155d264550
hex3bdb0fe8

1004212200 has 192 divisors, whose sum is σ = 3312109440. Its totient is φ = 251130880.

The previous prime is 1004212189. The next prime is 1004212211. The reversal of 1004212200 is 22124001.

It is an interprime number because it is at equal distance from previous prime (1004212189) and next prime (1004212211).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730714 + ... + 732086.

It is an arithmetic number, because the mean of its divisors is an integer number (17250570).

Almost surely, 21004212200 is an apocalyptic number.

1004212200 is a gapful number since it is divisible by the number (10) 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 1004212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656054720).

1004212200 is an abundant number, since it is smaller than the sum of its proper divisors (2307897240).

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

1004212200 is a wasteful number, since it uses less digits than its factorization.

1004212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1004212200 is about 31689.3073449074. The cubic root of 1004212200 is about 1001.4020998638.

Adding to 1004212200 its reverse (22124001), we get a palindrome (1026336201).

The spelling of 1004212200 in words is "one billion, four million, two hundred twelve thousand, two hundred".