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1000215000 = 23335431239
BaseRepresentation
bin111011100111100…
…001000111011000
32120201002012001000
4323213201013120
54022023340000
6243130025000
733533454501
oct7347410730
92521065030
101000215000
11473660374
1223ab78160
1312c2b3cc5
1496ba5ba8
155cc25000
hex3b9e11d8

1000215000 has 320 divisors, whose sum is σ = 3598848000. Its totient is φ = 257040000.

The previous prime is 1000214977. The next prime is 1000215001. The reversal of 1000215000 is 5120001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000215001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4184881 + ... + 4185119.

It is an arithmetic number, because the mean of its divisors is an integer number (11246400).

Almost surely, 21000215000 is an apocalyptic number.

1000215000 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 1000215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799424000).

1000215000 is an abundant number, since it is smaller than the sum of its proper divisors (2598633000).

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

1000215000 is a wasteful number, since it uses less digits than its factorization.

1000215000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 1000215000 is about 31626.1758674678. The cubic root of 1000215000 is about 1000.0716615312.

Adding to 1000215000 its reverse (5120001), we get a palindrome (1005335001).

It can be divided in two parts, 1000 and 215000, that added together give a cube (216000 = 603).

The spelling of 1000215000 in words is "one billion, two hundred fifteen thousand".