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1242220452 = 22311291911699
BaseRepresentation
bin100101000001010…
…1100011110100100
310012120110100002220
41022002230132210
510021002023302
6323133032340
742532461654
oct11202543644
93176410086
101242220452
11588223680
122a80256b0
1316a4878b5
14bada0364
15740ca4bc
hex4a0ac7a4

1242220452 has 96 divisors (see below), whose sum is σ = 3290112000. Its totient is φ = 361334400.

The previous prime is 1242220433. The next prime is 1242220453. The reversal of 1242220452 is 2540222421.

It is a super-2 number, since 2×12422204522 = 3086223302734168608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1242220453) 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 31 ways as a sum of consecutive naturals, for example, 730299 + ... + 731997.

It is an arithmetic number, because the mean of its divisors is an integer number (34272000).

Almost surely, 21242220452 is an apocalyptic number.

1242220452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242220452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645056000).

1242220452 is an abundant number, since it is smaller than the sum of its proper divisors (2047891548).

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

1242220452 is a wasteful number, since it uses less digits than its factorization.

1242220452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1242220452 is about 35245.1479213806. The cubic root of 1242220452 is about 1074.9779557766.

Adding to 1242220452 its reverse (2540222421), we get a palindrome (3782442873).

The spelling of 1242220452 in words is "one billion, two hundred forty-two million, two hundred twenty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 191 319 348 382 573 638 764 957 1146 1276 1699 1914 2101 2292 3398 3828 4202 5097 5539 6303 6796 8404 10194 11078 12606 16617 18689 20388 22156 25212 33234 37378 49271 56067 60929 66468 74756 98542 112134 121858 147813 182787 197084 224268 243716 295626 324509 365574 541981 591252 649018 731148 973527 1083962 1298036 1625943 1947054 2167924 3251886 3569599 3894108 6503772 7139198 9410761 10708797 14278396 18821522 21417594 28232283 37643044 42835188 56464566 103518371 112929132 207036742 310555113 414073484 621110226 1242220452