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202343420440 = 23572317325667
BaseRepresentation
bin1011110001110010011…
…0111001001000011000
3201100021122211210000001
42330130212321020120
511303344403423230
6232542201422344
720422154460400
oct2743446711030
9640248753001
10202343420440
11788a4649707
123327049a9b4
13161089879a5
149b17413800
1553e40710ca
hex2f1c9b9218

202343420440 has 96 divisors (see below), whose sum is σ = 531275235120. Its totient is φ = 69155826432.

The previous prime is 202343420423. The next prime is 202343420449. The reversal of 202343420440 is 44024343202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 202343420399 and 202343420408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202343420449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 458487 + ... + 784153.

Almost surely, 2202343420440 is an apocalyptic number.

202343420440 is a gapful number since it is divisible by the number (20) 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 202343420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265637617560).

202343420440 is an abundant number, since it is smaller than the sum of its proper divisors (328931814680).

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

202343420440 is a wasteful number, since it uses less digits than its factorization.

202343420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326009 (or 325998 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 202343420440 its reverse (44024343202), we get a palindrome (246367763642).

The spelling of 202343420440 in words is "two hundred two billion, three hundred forty-three million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 317 392 490 634 980 1268 1585 1960 2219 2536 3170 4438 6340 8876 11095 12680 15533 17752 22190 31066 44380 62132 77665 88760 124264 155330 310660 325667 621320 651334 1302668 1628335 2279669 2605336 3256670 4559338 6513340 9118676 11398345 13026680 15957683 18237352 22796690 31915366 45593380 63830732 79788415 91186760 103236439 127661464 159576830 206472878 319153660 412945756 516182195 638307320 722655073 825891512 1032364390 1445310146 2064728780 2890620292 3613275365 4129457560 5058585511 5781240584 7226550730 10117171022 14453101460 20234342044 25292927555 28906202920 40468684088 50585855110 101171710220 202343420440