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210221002002220 = 225116775114103851
BaseRepresentation
bin101111110011000111100100…
…001001100000111100101100
31000120022221011002010020210021
4233303013210021200330230
5210023230103003032340
62023034110050251524
762164652255003236
oct5763074411407454
91016287132106707
10210221002002220
1160a8a2541a86a0
121b6b22a4286ba4
13903b9a889c801
1439caa72229256
1519484e614be4a
hexbf31e4260f2c

210221002002220 has 48 divisors (see below), whose sum is σ = 481604347074816. Its totient is φ = 76442867000000.

The previous prime is 210221002002217. The next prime is 210221002002299. The reversal of 210221002002220 is 22200200122012.

210221002002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210221002002194 and 210221002002203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7853295 + ... + 21957145.

It is an arithmetic number, because the mean of its divisors is an integer number (10033423897392).

Almost surely, 2210221002002220 is an apocalyptic number.

210221002002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210221002002220 is an abundant number, since it is smaller than the sum of its proper divisors (271383345072596).

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

210221002002220 is a wasteful number, since it uses less digits than its factorization.

210221002002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14171622 (or 14171620 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 210221002002220 its reverse (22200200122012), we get a palindrome (232421202124232).

The spelling of 210221002002220 in words is "two hundred ten trillion, two hundred twenty-one billion, two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 67751 135502 271004 338755 677510 745261 1355020 1490522 2981044 3726305 7452610 14103851 14905220 28207702 56415404 70519255 141038510 155142361 282077020 310284722 620569444 775711805 1551423610 3102847220 955550009101 1911100018202 3822200036404 4777750045505 9555500091010 10511050100111 19111000182020 21022100200222 42044200400444 52555250500555 105110501001110 210221002002220