Search a number
-
+
202220020100 = 2252717113150383
BaseRepresentation
bin1011110001010101000…
…0001010000110000100
3201022222001122101120002
42330111100022012010
511303121311120400
6232522032500432
720416125544550
oct2742520120604
9638861571502
10202220020100
1178840a2515a
12332370aa718
13160b9240137
149b04c90860
1553d82e7ed5
hex2f1540a184

202220020100 has 144 divisors (see below), whose sum is σ = 535708712448. Its totient is φ = 64676290560.

The previous prime is 202220020099. The next prime is 202220020103. The reversal of 202220020100 is 1020022202.

It is not an unprimeable number, because it can be changed into a prime (202220020103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269509 + ... + 1419891.

It is an arithmetic number, because the mean of its divisors is an integer number (3720199392).

Almost surely, 2202220020100 is an apocalyptic number.

202220020100 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 202220020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267854356224).

202220020100 is an abundant number, since it is smaller than the sum of its proper divisors (333488692348).

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

202220020100 is a wasteful number, since it uses less digits than its factorization.

202220020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150534 (or 150527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202220020100 its reverse (1020022202), we get a palindrome (203240042302).

The spelling of 202220020100 in words is "two hundred two billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 113 119 140 170 175 226 238 340 350 425 452 476 565 595 700 791 850 1130 1190 1582 1700 1921 2260 2380 2825 2975 3164 3842 3955 5650 5950 7684 7910 9605 11300 11900 13447 15820 19210 19775 26894 38420 39550 48025 53788 67235 79100 96050 134470 150383 192100 268940 300766 336175 601532 672350 751915 1052681 1344700 1503830 2105362 2556511 3007660 3759575 4210724 5113022 5263405 7519150 10226044 10526810 12782555 15038300 16993279 17895577 21053620 25565110 26317025 33986558 35791154 51130220 52634050 63912775 67973116 71582308 84966395 89477885 105268100 118952953 127825550 169932790 178955770 237905906 255651100 288885743 339865580 357911540 424831975 447389425 475811812 577771486 594764765 849663950 894778850 1155542972 1189529530 1444428715 1699327900 1789557700 2022200201 2379059060 2888857430 2973823825 4044400402 5777714860 5947647650 7222143575 8088800804 10111001005 11895295300 14444287150 20222002010 28888574300 40444004020 50555005025 101110010050 202220020100