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221132210000 = 2454131701017
BaseRepresentation
bin1100110111110010000…
…0011011111101010000
3210010210002021011212212
43031330200123331100
512110334321210000
6245330422411252
721655601525462
oct3157440337520
9703702234785
10221132210000
1185866405369
1236a34890b28
1317b11444650
14a9ba8cc132
155b437d9c35
hex337c81bf50

221132210000 has 100 divisors (see below), whose sum is σ = 576566855172. Its totient is φ = 81648768000.

The previous prime is 221132209993. The next prime is 221132210041. The reversal of 221132210000 is 12231122.

It is a happy number.

221132210000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 204770730256 + 16361479744 = 452516^2 + 127912^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 720509 + ... + 980508.

Almost surely, 2221132210000 is an apocalyptic number.

221132210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221132210000 is an abundant number, since it is smaller than the sum of its proper divisors (355434645172).

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

221132210000 is a wasteful number, since it uses less digits than its factorization.

221132210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701058 (or 1701037 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 221132210000 its reverse (12231122), we get a palindrome (221144441122).

The spelling of 221132210000 in words is "two hundred twenty-one billion, one hundred thirty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 1701017 3402034 6804068 8505085 13608136 17010170 22113221 27216272 34020340 42525425 44226442 68040680 85050850 88452884 110566105 136081360 170101700 176905768 212627125 221132210 340203400 353811536 425254250 442264420 552830525 680406800 850508500 884528840 1063135625 1105661050 1701017000 1769057680 2126271250 2211322100 2764152625 3402034000 4252542500 4422644200 5528305250 8505085000 8845288400 11056610500 13820763125 17010170000 22113221000 27641526250 44226442000 55283052500 110566105000 221132210000