Search a number
-
+
22000203300 = 22352293078237
BaseRepresentation
bin10100011111010100…
…000111011000100100
32002210020021010100110
4110133110013120210
5330024023001200
614035020413020
71406120433255
oct243724073044
962706233313
1022000203300
11936a5a53a9
12431b9a7170
1320c7bc369a
1410c9bd4b2c
1588b66db50
hex51f507624

22000203300 has 144 divisors (see below), whose sum is σ = 66071396160. Its totient is φ = 5645283840.

The previous prime is 22000203289. The next prime is 22000203311. The reversal of 22000203300 is 330200022.

It is an interprime number because it is at equal distance from previous prime (22000203289) and next prime (22000203311).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2666782 + ... + 2675018.

It is an arithmetic number, because the mean of its divisors is an integer number (458829140).

Almost surely, 222000203300 is an apocalyptic number.

22000203300 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 22000203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33035698080).

22000203300 is an abundant number, since it is smaller than the sum of its proper divisors (44071192860).

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

22000203300 is a wasteful number, since it uses less digits than its factorization.

22000203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 22000203300 its reverse (330200022), we get a palindrome (22330403322).

The spelling of 22000203300 in words is "twenty-two billion, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 307 348 435 580 614 725 870 921 1228 1450 1535 1740 1842 2175 2900 3070 3684 4350 4605 6140 7675 8237 8700 8903 9210 15350 16474 17806 18420 23025 24711 26709 30700 32948 35612 41185 44515 46050 49422 53418 82370 89030 92100 98844 106836 123555 133545 164740 178060 205925 222575 238873 247110 267090 411850 445150 477746 494220 534180 617775 667725 716619 823700 890300 955492 1194365 1235550 1335450 1433238 2388730 2471100 2528759 2670900 2866476 3583095 4777460 5057518 5971825 7166190 7586277 10115036 11943650 12643795 14332380 15172554 17915475 23887300 25287590 30345108 35830950 37931385 50575180 63218975 71661900 73334011 75862770 126437950 146668022 151725540 189656925 220002033 252875900 293336044 366670055 379313850 440004066 733340110 758627700 880008132 1100010165 1466680220 1833350275 2200020330 3666700550 4400040660 5500050825 7333401100 11000101650 22000203300