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114450644 = 227111812053
BaseRepresentation
bin1101101001001…
…10000011010100
321222100200202202
412310212003110
5213244410034
615205024032
72556546230
oct664460324
9258320682
10114450644
1159671510
12323b5018
131a933099
14112b35c0
15a0ab47e
hex6d260d4

114450644 has 48 divisors (see below), whose sum is σ = 251212416. Its totient is φ = 44323200.

The previous prime is 114450643. The next prime is 114450653. The reversal of 114450644 is 446054411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114450643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54722 + ... + 56774.

It is an arithmetic number, because the mean of its divisors is an integer number (5233592).

Almost surely, 2114450644 is an apocalyptic number.

114450644 is a gapful number since it is divisible by the number (14) 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 114450644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125606208).

114450644 is an abundant number, since it is smaller than the sum of its proper divisors (136761772).

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

114450644 is a wasteful number, since it uses less digits than its factorization.

114450644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 114450644 is about 10698.1607765073. The cubic root of 114450644 is about 485.5188325970.

The spelling of 114450644 in words is "one hundred fourteen million, four hundred fifty thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 181 308 362 724 1267 1991 2053 2534 3982 4106 5068 7964 8212 13937 14371 22583 27874 28742 45166 55748 57484 90332 158081 316162 371593 632324 743186 1486372 2601151 4087523 5202302 8175046 10404604 16350092 28612661 57225322 114450644