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1221324032 = 285219157
BaseRepresentation
bin100100011001011…
…1110110100000000
310011010010200121102
41020302332310000
510000124332112
6321105113532
742160040315
oct11062766400
93133120542
101221324032
11577450905
122a10288a8
1316604c456
14b82c0d0c
157234dbc2
hex48cbed00

1221324032 has 36 divisors (see below), whose sum is σ = 2442823236. Its totient is φ = 609423360.

The previous prime is 1221323927. The next prime is 1221324079. The reversal of 1221324032 is 2304231221.

It can be written as a sum of positive squares in 2 ways, for example, as 248882176 + 972441856 = 15776^2 + 31184^2 .

It is a super-2 number, since 2×12213240322 = 2983264782281474048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221323995 and 1221324013.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 128798 + ... + 137954.

It is an arithmetic number, because the mean of its divisors is an integer number (67856201).

Almost surely, 21221324032 is an apocalyptic number.

It is an amenable number.

1221324032 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

1221324032 is an frugal number, since it uses more digits than its factorization.

1221324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9694 (or 9680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1221324032 is about 34947.4467164627. The cubic root of 1221324032 is about 1068.9161389088.

Adding to 1221324032 its reverse (2304231221), we get a palindrome (3525555253).

The spelling of 1221324032 in words is "one billion, two hundred twenty-one million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 521 1042 2084 4168 8336 9157 16672 18314 33344 36628 66688 73256 133376 146512 293024 586048 1172096 2344192 4770797 9541594 19083188 38166376 76332752 152665504 305331008 610662016 1221324032