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414121230 = 23254722083
BaseRepresentation
bin11000101011101…
…111110100001110
31001212020112112100
4120223233310032
51322003334410
6105032015530
713155654345
oct3053576416
91055215470
10414121230
111a2840456
12b68315a6
1367a46c63
143cddcb5c
15265528c0
hex18aefd0e

414121230 has 72 divisors (see below), whose sum is σ = 1100639592. Its totient is φ = 108030816.

The previous prime is 414121229. The next prime is 414121243. The reversal of 414121230 is 32121414.

414121230 is a `hidden beast` number, since 414 + 1 + 21 + 230 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 197769 + ... + 199851.

It is an arithmetic number, because the mean of its divisors is an integer number (15286661).

Almost surely, 2414121230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414121230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550319796).

414121230 is an abundant number, since it is smaller than the sum of its proper divisors (686518362).

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

414121230 is a wasteful number, since it uses less digits than its factorization.

414121230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 414121230 is about 20349.9687960449. The cubic root of 414121230 is about 745.3767324228.

Adding to 414121230 its reverse (32121414), we get a palindrome (446242644).

The spelling of 414121230 in words is "four hundred fourteen million, one hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2083 2115 2209 4166 4230 4418 6249 6627 10415 11045 12498 13254 18747 19881 20830 22090 31245 33135 37494 39762 62490 66270 93735 97901 99405 187470 195802 198810 293703 489505 587406 881109 979010 1468515 1762218 2937030 4405545 4601347 8811090 9202694 13804041 23006735 27608082 41412123 46013470 69020205 82824246 138040410 207060615 414121230