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305020422420 = 223572286136263
BaseRepresentation
bin1000111000001001010…
…00100100100100010100
31002011022101201220121020
410130010220210210110
514444140212004140
6352042514121140
731015455545400
oct4340450444424
91064271656536
10305020422420
111083a4092a3a
124b1468801b0
13229bcc8ac6c
1410a97bdc100
157e032eb6d0
hex4704a24914

305020422420 has 144 divisors (see below), whose sum is σ = 993869751168. Its totient is φ = 69692663040.

The previous prime is 305020422419. The next prime is 305020422439. The reversal of 305020422420 is 24224020503.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8393209 + ... + 8429471.

It is an arithmetic number, because the mean of its divisors is an integer number (6901873272).

Almost surely, 2305020422420 is an apocalyptic number.

305020422420 is a gapful number since it is divisible by the number (30) 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 305020422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496934875584).

305020422420 is an abundant number, since it is smaller than the sum of its proper divisors (688849328748).

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

305020422420 is a wasteful number, since it uses less digits than its factorization.

305020422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39150 (or 39141 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 305020422420 its reverse (24224020503), we get a palindrome (329244442923).

The spelling of 305020422420 in words is "three hundred five billion, twenty million, four hundred twenty-two thousand, four hundred 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 2861 2940 5722 8583 11444 14305 17166 20027 28610 34332 36263 40054 42915 57220 60081 72526 80108 85830 100135 108789 120162 140189 145052 171660 181315 200270 217578 240324 253841 280378 300405 362630 400540 420567 435156 507682 543945 560756 600810 700945 725260 761523 841134 1015364 1087890 1201620 1269205 1401890 1523046 1682268 1776887 2102835 2175780 2538410 2803780 3046092 3553774 3807615 4205670 5076820 5330661 7107548 7615230 8411340 8884435 10661322 15230460 17768870 21322644 26653305 35537740 53306610 103748443 106613220 207496886 311245329 414993772 518742215 622490658 726239101 1037484430 1244981316 1452478202 1556226645 2074968860 2178717303 2904956404 3112453290 3631195505 4357434606 5083673707 6224906580 7262391010 8714869212 10167347414 10893586515 14524782020 15251021121 20334694828 21787173030 25418368535 30502042242 43574346060 50836737070 61004084484 76255105605 101673474140 152510211210 305020422420