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114422220 = 22345116421
BaseRepresentation
bin1101101000111…
…11000111001100
321222022020210000
412310133013030
5213243002340
615204244300
72556400323
oct664370714
9258266700
10114422220
1159652120
12323a0690
131a923173
14112a70ba
15a0a2d30
hex6d1f1cc

114422220 has 120 divisors (see below), whose sum is σ = 391639248. Its totient is φ = 27734400.

The previous prime is 114422207. The next prime is 114422239. The reversal of 114422220 is 22224411.

114422220 is a `hidden beast` number, since 1 + 1 + 442 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114422193 and 114422202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14610 + ... + 21030.

Almost surely, 2114422220 is an apocalyptic number.

114422220 is a gapful number since it is divisible by the number (10) 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 114422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195819624).

114422220 is an abundant number, since it is smaller than the sum of its proper divisors (277217028).

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

114422220 is a wasteful number, since it uses less digits than its factorization.

114422220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453 (or 6442 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114422220 is about 10696.8322413694. The cubic root of 114422220 is about 485.4786361437.

Adding to 114422220 its reverse (22224411), we get a palindrome (136646631).

The spelling of 114422220 in words is "one hundred fourteen million, four hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 6421 8910 12842 17820 19263 25684 32105 38526 57789 64210 70631 77052 96315 115578 128420 141262 173367 192630 211893 231156 282524 288945 346734 353155 385260 423786 520101 577890 635679 693468 706310 847572 866835 1040202 1059465 1155780 1271358 1412620 1733670 1907037 2080404 2118930 2542716 2600505 3178395 3467340 3814074 4237860 5201010 5721111 6356790 7628148 9535185 10402020 11442222 12713580 19070370 22884444 28605555 38140740 57211110 114422220