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114220320 = 2535237959
BaseRepresentation
bin1101100111011…
…01110100100000
321221220222211020
412303231310200
5213220022240
615200045440
72554566564
oct663556440
9257828736
10114220320
1159524465
1232303880
131a8822b6
14112536a4
15a0630d0
hex6cedd20

114220320 has 48 divisors (see below), whose sum is σ = 359795520. Its totient is φ = 30458624.

The previous prime is 114220319. The next prime is 114220349. The reversal of 114220320 is 23022411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114220320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118500 + ... + 119459.

It is an arithmetic number, because the mean of its divisors is an integer number (7495740).

Almost surely, 2114220320 is an apocalyptic number.

114220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114220320 is an abundant number, since it is smaller than the sum of its proper divisors (245575200).

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

114220320 is a wasteful number, since it uses less digits than its factorization.

114220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237977 (or 237969 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 114220320 is about 10687.3907011955. The cubic root of 114220320 is about 485.1929228594.

Adding to 114220320 its reverse (23022411), we get a palindrome (137242731).

The spelling of 114220320 in words is "one hundred fourteen million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 237959 475918 713877 951836 1189795 1427754 1903672 2379590 2855508 3569385 3807344 4759180 5711016 7138770 7614688 9518360 11422032 14277540 19036720 22844064 28555080 38073440 57110160 114220320