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414022230 = 2325371011231
BaseRepresentation
bin11000101011010…
…111101001010110
31001212001111201200
4120223113221112
51321442202410
6105025533330
713155062616
oct3053275126
91055044650
10414022230
111a2783036
12b67a4246
1367a10b8b
143cdb4a46
15265333c0
hex18ad7a56

414022230 has 96 divisors (see below), whose sum is σ = 1117404288. Its totient is φ = 106272000.

The previous prime is 414022207. The next prime is 414022247. The reversal of 414022230 is 32220414.

414022230 is a `hidden beast` number, since 41 + 402 + 223 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335715 + ... + 336945.

It is an arithmetic number, because the mean of its divisors is an integer number (11639628).

Almost surely, 2414022230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414022230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558702144).

414022230 is an abundant number, since it is smaller than the sum of its proper divisors (703382058).

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

414022230 is a wasteful number, since it uses less digits than its factorization.

414022230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 414022230 is about 20347.5362144904. The cubic root of 414022230 is about 745.3173309946.

Adding to 414022230 its reverse (32220414), we get a palindrome (446242644).

The spelling of 414022230 in words is "four hundred fourteen million, twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 101 111 185 202 222 303 333 370 505 555 606 666 909 1010 1110 1231 1515 1665 1818 2462 3030 3330 3693 3737 4545 6155 7386 7474 9090 11079 11211 12310 18465 18685 22158 22422 33633 36930 37370 45547 55395 56055 67266 91094 110790 112110 124331 136641 168165 227735 248662 273282 336330 372993 409923 455470 621655 683205 745986 819846 1118979 1243310 1366410 1864965 2049615 2237958 3729930 4099230 4600247 5594895 9200494 11189790 13800741 23001235 27601482 41402223 46002470 69003705 82804446 138007410 207011115 414022230