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2232321003220 = 2257111449559093
BaseRepresentation
bin100000011111000000101…
…100110100111011010100
321220102000021210121200211
4200133000230310323110
5243033243134100340
64425303014215204
7320164665310120
oct40370054647324
97812007717624
102232321003220
117907a40120a0
1230077b954504
13132678a65709
147a08b354580
153d103bea5ea
hex207c0b34ed4

2232321003220 has 48 divisors (see below), whose sum is σ = 5844622267008. Its totient is φ = 695788364160.

The previous prime is 2232321003181. The next prime is 2232321003301. The reversal of 2232321003220 is 223001232322.

It is a super-3 number, since 3×22323210032203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2232321003191 and 2232321003200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724778007 + ... + 724781086.

It is an arithmetic number, because the mean of its divisors is an integer number (121762963896).

Almost surely, 22232321003220 is an apocalyptic number.

2232321003220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232321003220 is an abundant number, since it is smaller than the sum of its proper divisors (3612301263788).

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

2232321003220 is a wasteful number, since it uses less digits than its factorization.

2232321003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449559120 (or 1449559118 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2232321003220 its reverse (223001232322), we get a palindrome (2455322235542).

The spelling of 2232321003220 in words is "two trillion, two hundred thirty-two billion, three hundred twenty-one million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1449559093 2899118186 5798236372 7247795465 10146913651 14495590930 15945150023 20293827302 28991181860 31890300046 40587654604 50734568255 63780600092 79725750115 101469136510 111616050161 159451500230 202938273020 223232100322 318903000460 446464200644 558080250805 1116160501610 2232321003220