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114222996 = 223229372957
BaseRepresentation
bin1101100111011…
…10011110010100
321221221010111100
412303232132110
5213220113441
615200110100
72554610436
oct663563624
9257833440
10114222996
1159526478
1232305330
131a883594
1411254656
15a063cb6
hex6cee794

114222996 has 72 divisors (see below), whose sum is σ = 306862920. Its totient is φ = 35755776.

The previous prime is 114222947. The next prime is 114223013. The reversal of 114222996 is 699222411.

It can be written as a sum of positive squares in 4 ways, for example, as 22752900 + 91470096 = 4770^2 + 9564^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 114222996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37150 + ... + 40106.

It is an arithmetic number, because the mean of its divisors is an integer number (4261985).

Almost surely, 2114222996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114222996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153431460).

114222996 is an abundant number, since it is smaller than the sum of its proper divisors (192639924).

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

114222996 is a wasteful number, since it uses less digits than its factorization.

114222996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3028 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 114222996 is about 10687.5158947250. The cubic root of 114222996 is about 485.1967119287.

The spelling of 114222996 in words is "one hundred fourteen million, two hundred twenty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 174 222 261 333 348 444 522 666 1044 1073 1332 2146 2957 3219 4292 5914 6438 8871 9657 11828 12876 17742 19314 26613 35484 38628 53226 85753 106452 109409 171506 218818 257259 328227 343012 437636 514518 656454 771777 984681 1029036 1312908 1543554 1969362 3087108 3172861 3938724 6345722 9518583 12691444 19037166 28555749 38074332 57111498 114222996