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2052112314 = 237671375323
BaseRepresentation
bin111101001010000…
…1011111110111010
312022000102002212210
41322110023332322
513200320043224
6535343515550
7101565444510
oct17224137672
95260362783
102052112314
1196340039a
124932b8bb6
132691c2055
141567824b0
15c0258429
hex7a50bfba

2052112314 has 64 divisors (see below), whose sum is σ = 4796199936. Its totient is φ = 573243264.

The previous prime is 2052112291. The next prime is 2052112319. The reversal of 2052112314 is 4132112502.

It is a super-2 number, since 2×20521123142 = 8422329898540869192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2052112319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 382857 + ... + 388179.

It is an arithmetic number, because the mean of its divisors is an integer number (74940624).

Almost surely, 22052112314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052112314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398099968).

2052112314 is an abundant number, since it is smaller than the sum of its proper divisors (2744087622).

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

2052112314 is a wasteful number, since it uses less digits than its factorization.

2052112314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2052112314 is about 45300.2462907212. The cubic root of 2052112314 is about 1270.7702591756.

Adding to 2052112314 its reverse (4132112502), we get a palindrome (6184224816).

The spelling of 2052112314 in words is "two billion, fifty-two million, one hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 67 134 137 201 274 402 411 469 822 938 959 1407 1918 2814 2877 5323 5754 9179 10646 15969 18358 27537 31938 37261 55074 64253 74522 111783 128506 192759 223566 356641 385518 713282 729251 1069923 1458502 2139846 2187753 2496487 4375506 4992974 5104757 7489461 10209514 14978922 15314271 30628542 48859817 97719634 146579451 293158902 342018719 684037438 1026056157 2052112314