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114442244 = 22721979389
BaseRepresentation
bin1101101001001…
…00000000000100
321222100021020122
412310210000010
5213244122434
615204521112
72556512600
oct664440004
9258307218
10114442244
1159666174
12323b0198
131a92c307
14112b0500
15a0a8c2e
hex6d24004

114442244 has 72 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 45759168.

The previous prime is 114442243. The next prime is 114442267. The reversal of 114442244 is 442244411.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (114442243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294002 + ... + 294390.

It is an arithmetic number, because the mean of its divisors is an integer number (3458000).

Almost surely, 2114442244 is an apocalyptic number.

114442244 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 114442244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488000).

114442244 is an abundant number, since it is smaller than the sum of its proper divisors (134533756).

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

114442244 is a wasteful number, since it uses less digits than its factorization.

114442244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 114442244 is about 10697.7681784567. The cubic root of 114442244 is about 485.5069542366.

Adding to 114442244 its reverse (442244411), we get a palindrome (556686655).

The spelling of 114442244 in words is "one hundred fourteen million, four hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 79 98 133 158 196 266 316 389 532 553 778 931 1106 1501 1556 1862 2212 2723 3002 3724 3871 5446 6004 7391 7742 10507 10892 14782 15484 19061 21014 29564 30731 38122 42028 51737 61462 73549 76244 103474 122924 147098 206948 215117 294196 362159 430234 583889 724318 860468 1167778 1448636 1505819 2335556 3011638 4087223 6023276 8174446 16348892 28610561 57221122 114442244