Search a number
-
+
2114505525 = 352116142017
BaseRepresentation
bin111111000001000…
…1100101100110101
312110100211000021110
41332002030230311
513312303134100
6545453105233
7103254000066
oct17602145465
95410730243
102114505525
11995646330
124b0188219
132790c9402
14160b8456d
15c5980250
hex7e08cb35

2114505525 has 48 divisors (see below), whose sum is σ = 3876412608. Its totient is φ = 1008384000.

The previous prime is 2114505511. The next prime is 2114505527. The reversal of 2114505525 is 5255054112.

It is not a de Polignac number, because 2114505525 - 25 = 2114505493 is a prime.

It is a super-2 number, since 2×21145055252 = 8942267230511051250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114505492 and 2114505501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114505527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29317 + ... + 71333.

It is an arithmetic number, because the mean of its divisors is an integer number (80758596).

Almost surely, 22114505525 is an apocalyptic number.

2114505525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2114505525 is a deficient number, since it is larger than the sum of its proper divisors (1761907083).

2114505525 is a wasteful number, since it uses less digits than its factorization.

2114505525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42102 (or 42097 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 2114505525 is about 45983.7528372794. The cubic root of 2114505525 is about 1283.5208899243.

Adding to 2114505525 its reverse (5255054112), we get a palindrome (7369559637).

The spelling of 2114505525 in words is "two billion, one hundred fourteen million, five hundred five thousand, five hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 61 75 165 183 275 305 671 825 915 1525 2013 3355 4575 10065 16775 42017 50325 126051 210085 462187 630255 1050425 1386561 2310935 2563037 3151275 6932805 7689111 11554675 12815185 28193407 34664025 38445555 64075925 84580221 140967035 192227775 422901105 704835175 2114505525