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34225224 = 23311129641
BaseRepresentation
bin1000001010001…
…1110001001000
32101101211011220
42002203301020
532230201344
63221322040
7563623665
oct202436110
971354156
1034225224
1118356a10
12b566320
137124217
14478ca6c
153010c19
hex20a3c48

34225224 has 32 divisors (see below), whose sum is σ = 93342240. Its totient is φ = 10371200.

The previous prime is 34225223. The next prime is 34225229. The reversal of 34225224 is 42252243.

It is a happy number.

34225224 is nontrivially palindromic in base 13.

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 = 34225194 and 34225203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64557 + ... + 65084.

It is an arithmetic number, because the mean of its divisors is an integer number (2916945).

Almost surely, 234225224 is an apocalyptic number.

It is an amenable number.

34225224 is an abundant number, since it is smaller than the sum of its proper divisors (59117016).

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

34225224 is a wasteful number, since it uses less digits than its factorization.

34225224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129661 (or 129657 counting only the distinct ones).

The product of its digits is 3840, while the sum is 24.

The square root of 34225224 is about 5850.2328158801. The cubic root of 34225224 is about 324.6749381010.

Adding to 34225224 its reverse (42252243), we get a palindrome (76477467).

It can be divided in two parts, 3422 and 5224, that added together give a triangular number (8646 = T131).

The spelling of 34225224 in words is "thirty-four million, two hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 129641 259282 388923 518564 777846 1037128 1426051 1555692 2852102 3111384 4278153 5704204 8556306 11408408 17112612 34225224