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221212321424 = 2442144973141
BaseRepresentation
bin1100111000000101001…
…0000010011010010000
3210010222200000021002122
43032001102002122100
512111020323241144
6245342403433412
721660563464463
oct3160122023220
9703880007078
10221212321424
11858a7652256
1236a57685868
1317b24c13663
14a9c73c32da
155b4a8617ee
hex3381482690

221212321424 has 40 divisors (see below), whose sum is σ = 430579639800. Its totient is φ = 110096179200.

The previous prime is 221212321403. The next prime is 221212321427. The reversal of 221212321424 is 424123212122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17150521600 + 204061799824 = 130960^2 + 451732^2 .

It is a super-2 number, since 2×2212123214242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221212321393 and 221212321402.

It is not an unprimeable number, because it can be changed into a prime (221212321427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2987894 + ... + 3061034.

It is an arithmetic number, because the mean of its divisors is an integer number (10764490995).

Almost surely, 2221212321424 is an apocalyptic number.

It is an amenable number.

221212321424 is a deficient number, since it is larger than the sum of its proper divisors (209367318376).

221212321424 is a wasteful number, since it uses less digits than its factorization.

221212321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74019 (or 74013 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 221212321424 its reverse (424123212122), we get a palindrome (645335533546).

The spelling of 221212321424 in words is "two hundred twenty-one billion, two hundred twelve million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 421 449 842 898 1684 1796 3368 3592 6736 7184 73141 146282 189029 292564 378058 585128 756116 1170256 1512232 3024464 30792361 32840309 61584722 65680618 123169444 131361236 246338888 262722472 492677776 525444944 13825770089 27651540178 55303080356 110606160712 221212321424