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2234124024 = 2331161138731
BaseRepresentation
bin1000010100101010…
…0000011011111000
312202200220021000020
42011022200123320
514033413432044
61005405010440
7106235512056
oct20512403370
95680807006
102234124024
11a471174a0
12524253a20
13297b1b7a2
14172a011d6
15d120ca19
hex852a06f8

2234124024 has 64 divisors (see below), whose sum is σ = 6192996480. Its totient is φ = 665904000.

The previous prime is 2234124023. The next prime is 2234124041. The reversal of 2234124024 is 4204214322.

It is a super-2 number, since 2×22341240242 = 9982620309227905152, which contains 22 as substring.

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 = 2234123985 and 2234124003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234124023) 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 15 ways as a sum of consecutive naturals, for example, 53262 + ... + 85469.

It is an arithmetic number, because the mean of its divisors is an integer number (96765570).

Almost surely, 22234124024 is an apocalyptic number.

2234124024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2234124024 is an abundant number, since it is smaller than the sum of its proper divisors (3958872456).

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

2234124024 is a wasteful number, since it uses less digits than its factorization.

2234124024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138812 (or 138808 counting only the distinct ones).

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

The square root of 2234124024 is about 47266.5211751404. The cubic root of 2234124024 is about 1307.2814325113.

Adding to 2234124024 its reverse (4204214322), we get a palindrome (6438338346).

The spelling of 2234124024 in words is "two billion, two hundred thirty-four million, one hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 4026 5368 8052 16104 138731 277462 416193 554924 832386 1109848 1526041 1664772 3052082 3329544 4578123 6104164 8462591 9156246 12208328 16925182 18312492 25387773 33850364 36624984 50775546 67700728 93088501 101551092 186177002 203102184 279265503 372354004 558531006 744708008 1117062012 2234124024