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200020303400 = 235217320318367
BaseRepresentation
bin1011101001001000100…
…0111001111000101000
3201010021202111012112012
42322102020321320220
511234120144202100
6231515453135052
720310455345411
oct2722210717050
9633252435465
10200020303400
1177912279475
123292248a488
1315b285aa718
149976a88808
15530a135135
hex2e92239e28

200020303400 has 96 divisors (see below), whose sum is σ = 492583472640. Its totient is φ = 75274152960.

The previous prime is 200020303393. The next prime is 200020303403. The reversal of 200020303400 is 4303020002.

It is not an unprimeable number, because it can be changed into a prime (200020303403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10881017 + ... + 10899383.

It is an arithmetic number, because the mean of its divisors is an integer number (5131077840).

Almost surely, 2200020303400 is an apocalyptic number.

200020303400 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 200020303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246291736320).

200020303400 is an abundant number, since it is smaller than the sum of its proper divisors (292563169240).

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

200020303400 is a wasteful number, since it uses less digits than its factorization.

200020303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21603 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 200020303400 its reverse (4303020002), we get a palindrome (204323323402).

The spelling of 200020303400 in words is "two hundred billion, twenty million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3203 3400 6406 12812 16015 18367 25624 32030 36734 54451 64060 73468 80075 91835 108902 128120 146936 160150 183670 217804 272255 312239 320300 367340 435608 459175 544510 624478 640600 734680 918350 1089020 1248956 1361275 1561195 1836700 2178040 2497912 2722550 3122390 3673400 5445100 6244780 7805975 10890200 12489560 15611950 31223900 58829501 62447800 117659002 235318004 294147505 470636008 588295010 1000101517 1176590020 1470737525 2000203034 2353180040 2941475050 4000406068 5000507585 5882950100 8000812136 10001015170 11765900200 20002030340 25002537925 40004060680 50005075850 100010151700 200020303400