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2152205300 = 2252719715607
BaseRepresentation
bin1000000001001000…
…0000101111110100
312112222202100122102
42000102000233310
513401431032200
6553321121232
7104222305010
oct20022005764
95488670572
102152205300
11a04955773
12500929218
13283b68c7b
14165b99540
15c8e2a6d5
hex80480bf4

2152205300 has 72 divisors (see below), whose sum is σ = 5364906624. Its totient is φ = 734106240.

The previous prime is 2152205299. The next prime is 2152205311. The reversal of 2152205300 is 35022512.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130097 + ... + 145703.

It is an arithmetic number, because the mean of its divisors is an integer number (74512592).

Almost surely, 22152205300 is an apocalyptic number.

2152205300 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 2152205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682453312).

2152205300 is an abundant number, since it is smaller than the sum of its proper divisors (3212701324).

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

2152205300 is a wasteful number, since it uses less digits than its factorization.

2152205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2152205300 is about 46391.8667440749. The cubic root of 2152205300 is about 1291.1040165245.

Adding to 2152205300 its reverse (35022512), we get a palindrome (2187227812).

The spelling of 2152205300 in words is "two billion, one hundred fifty-two million, two hundred five thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 197 350 394 700 788 985 1379 1970 2758 3940 4925 5516 6895 9850 13790 15607 19700 27580 31214 34475 62428 68950 78035 109249 137900 156070 218498 312140 390175 436996 546245 780350 1092490 1560700 2184980 2731225 3074579 5462450 6149158 10924900 12298316 15372895 21522053 30745790 43044106 61491580 76864475 86088212 107610265 153728950 215220530 307457900 430441060 538051325 1076102650 2152205300