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114222048 = 25317223179
BaseRepresentation
bin1101100111011…
…10001111100000
321221221002012020
412303232033200
5213220101143
615200101440
72554604613
oct663561740
9257832166
10114222048
1159525796
1232304880
131a883015
141125417a
15a063883
hex6cee3e0

114222048 has 144 divisors (see below), whose sum is σ = 334212480. Its totient is φ = 34084864.

The previous prime is 114222013. The next prime is 114222077. The reversal of 114222048 is 840222411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 638023 + ... + 638201.

It is an arithmetic number, because the mean of its divisors is an integer number (2320920).

Almost surely, 2114222048 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 114222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167106240).

114222048 is an abundant number, since it is smaller than the sum of its proper divisors (219990432).

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

114222048 is a wasteful number, since it uses less digits than its factorization.

114222048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 114222048 is about 10687.4715438218. The cubic root of 114222048 is about 485.1953696195.

Adding to 114222048 its reverse (840222411), we get a palindrome (954444459).

The spelling of 114222048 in words is "one hundred fourteen million, two hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 179 184 204 272 276 289 358 368 391 408 537 544 552 578 716 736 782 816 867 1074 1104 1156 1173 1432 1564 1632 1734 2148 2208 2312 2346 2864 3043 3128 3468 4117 4296 4624 4692 5728 6086 6256 6647 6936 8234 8592 9129 9248 9384 12172 12351 12512 13294 13872 16468 17184 18258 18768 19941 24344 24702 26588 27744 32936 36516 37536 39882 48688 49404 51731 53176 65872 69989 73032 79764 97376 98808 103462 106352 131744 139978 146064 155193 159528 197616 206924 209967 212704 279956 292128 310386 319056 395232 413848 419934 559912 620772 638112 827696 839868 1119824 1189813 1241544 1655392 1679736 2239648 2379626 2483088 3359472 3569439 4759252 4966176 6718944 7138878 9518504 14277756 19037008 28555512 38074016 57111024 114222048