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213221222304 = 25316571340407
BaseRepresentation
bin1100011010010011111…
…0011010011110100000
3202101100202100100220120
43012210332122132200
511443134113103204
6241541422440240
721255551325426
oct3064476323640
9671322310816
10213221222304
1182476904202
12353a7433080
1317150498a3c
14a469d95116
15582e0236d9
hex31a4f9a7a0

213221222304 has 48 divisors (see below), whose sum is σ = 560043908928. Its totient is φ = 71030794752.

The previous prime is 213221222293. The next prime is 213221222309. The reversal of 213221222304 is 403222122312.

213221222304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (213221222309) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 511132 + ... + 829275.

It is an arithmetic number, because the mean of its divisors is an integer number (11667581436).

Almost surely, 2213221222304 is an apocalyptic number.

213221222304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213221222304 is an abundant number, since it is smaller than the sum of its proper divisors (346822686624).

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

213221222304 is a wasteful number, since it uses less digits than its factorization.

213221222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342077 (or 1342069 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213221222304 its reverse (403222122312), we get a palindrome (616443344616).

The spelling of 213221222304 in words is "two hundred thirteen billion, two hundred twenty-one million, two hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1657 3314 4971 6628 9942 13256 19884 26512 39768 53024 79536 159072 1340407 2680814 4021221 5361628 8042442 10723256 16084884 21446512 32169768 42893024 64339536 128679072 2221054399 4442108798 6663163197 8884217596 13326326394 17768435192 26652652788 35536870384 53305305576 71073740768 106610611152 213221222304