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114468601 = 1328232
BaseRepresentation
bin1101101001010…
…10011011111001
321222101121101211
412310222123321
5213300443401
615205243121
72556652462
oct664523371
9258347354
10114468601
1159683a55
12324034a1
131a93b300
14112b9d69
15a0b1951
hex6d2a6f9

114468601 has 9 divisors (see below), whose sum is σ = 124101999. Its totient is φ = 105534936.

The previous prime is 114468589. The next prime is 114468611. The reversal of 114468601 is 106864411.

The square root of 114468601 is 10699.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16933225 + 97535376 = 4115^2 + 9876^2 .

It is not a de Polignac number, because 114468601 - 221 = 112371449 is a prime.

It is a super-2 number, since 2×1144686012 = 26206121229794402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114468611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 138676 + ... + 139498.

It is an arithmetic number, because the mean of its divisors is an integer number (13789111).

Almost surely, 2114468601 is an apocalyptic number.

114468601 is the 10699-th square number.

114468601 is the 5350-th centered octagonal number.

It is an amenable number.

114468601 is a deficient number, since it is larger than the sum of its proper divisors (9633398).

114468601 is an frugal number, since it uses more digits than its factorization.

114468601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 114468601 is about 485.5442234713.

The spelling of 114468601 in words is "one hundred fourteen million, four hundred sixty-eight thousand, six hundred one".

Divisors: 1 13 169 823 10699 139087 677329 8805277 114468601