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114022020 = 22357238783
BaseRepresentation
bin1101100101111…
…01011010000100
321221112220210210
412302331122010
5213142201040
615151515420
72553112500
oct662753204
9257486723
10114022020
11593a9482
1232228b70
131a812c68
1411201300
15a024480
hex6cbd684

114022020 has 72 divisors (see below), whose sum is σ = 371395584. Its totient is φ = 26061504.

The previous prime is 114022019. The next prime is 114022037. The reversal of 114022020 is 20220411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 114021987 and 114022005.

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, 16452 + ... + 22331.

It is an arithmetic number, because the mean of its divisors is an integer number (5158272).

Almost surely, 2114022020 is an apocalyptic number.

114022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114022020 is an abundant number, since it is smaller than the sum of its proper divisors (257373564).

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

114022020 is a wasteful number, since it uses less digits than its factorization.

114022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38809 (or 38800 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 114022020 is about 10678.1093832195. The cubic root of 114022020 is about 484.9119760896.

Adding to 114022020 its reverse (20220411), we get a palindrome (134242431).

The spelling of 114022020 in words is "one hundred fourteen million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 38783 77566 116349 155132 193915 232698 271481 387830 465396 542962 581745 775660 814443 1085924 1163490 1357405 1628886 1900367 2326980 2714810 3257772 3800734 4072215 5429620 5701101 7601468 8144430 9501835 11402202 16288860 19003670 22804404 28505505 38007340 57011010 114022020