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2170220052 = 223711131937257
BaseRepresentation
bin1000000101011010…
…1110111000010100
312121020122121020110
42001112232320110
513421034020202
6555203203020
7104531365110
oct20126567024
95536577213
102170220052
11a1403a4a0
12506976470
132878058a0
14168328740
15ca7d826c
hex815aee14

2170220052 has 384 divisors, whose sum is σ = 7378882560. Its totient is φ = 477757440.

The previous prime is 2170220047. The next prime is 2170220053. The reversal of 2170220052 is 2500220712.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170220053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8444308 + ... + 8444564.

It is an arithmetic number, because the mean of its divisors is an integer number (19215840).

Almost surely, 22170220052 is an apocalyptic number.

2170220052 is a gapful number since it is divisible by the number (22) 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 2170220052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689441280).

2170220052 is an abundant number, since it is smaller than the sum of its proper divisors (5208662508).

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

2170220052 is a wasteful number, since it uses less digits than its factorization.

2170220052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2170220052 is about 46585.6206570225. The cubic root of 2170220052 is about 1294.6963509430.

Adding to 2170220052 its reverse (2500220712), we get a palindrome (4670440764).

It can be divided in two parts, 2170 and 220052, that added together give a palindrome (222222).

The spelling of 2170220052 in words is "two billion, one hundred seventy million, two hundred twenty thousand, fifty-two".