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4122430224 = 2431121137003
BaseRepresentation
bin1111010110110111…
…0100101100010000
3101122022002011010220
43311231310230100
531420320231344
61521021553040
7204105036003
oct36555645420
911568064126
104122430224
111826005930
12970715780
135090b9833
142b170353a
15191daac19
hexf5b74b10

4122430224 has 80 divisors (see below), whose sum is σ = 11673133824. Its totient is φ = 1243267200.

The previous prime is 4122430217. The next prime is 4122430261. The reversal of 4122430224 is 4220342214.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4122430194 and 4122430203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92907 + ... + 129909.

Almost surely, 24122430224 is an apocalyptic number.

4122430224 is a gapful number since it is divisible by the number (44) 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 4122430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836566912).

4122430224 is an abundant number, since it is smaller than the sum of its proper divisors (7550703600).

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

4122430224 is a wasteful number, since it uses less digits than its factorization.

4122430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37236 (or 37230 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4122430224 is about 64206.1540975630. The cubic root of 4122430224 is about 1603.4340596650.

Adding to 4122430224 its reverse (4220342214), we get a palindrome (8342772438).

The spelling of 4122430224 in words is "four billion, one hundred twenty-two million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 211 264 422 528 633 844 1266 1688 2321 2532 3376 4642 5064 6963 9284 10128 13926 18568 27852 37003 37136 55704 74006 111009 111408 148012 222018 296024 407033 444036 592048 814066 888072 1221099 1628132 1776144 2442198 3256264 4884396 6512528 7807633 9768792 15615266 19537584 23422899 31230532 46845798 62461064 85883963 93691596 124922128 171767926 187383192 257651889 343535852 374766384 515303778 687071704 1030607556 1374143408 2061215112 4122430224