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64223124 = 22372239457
BaseRepresentation
bin1111010011111…
…1011110010100
311110211212120020
43310333132110
5112420114444
610212305140
71406613300
oct364773624
9143755506
1064223124
1133285869
12196121b0
13103c8264
14875ad00
155989119
hex3d3f794

64223124 has 72 divisors (see below), whose sum is σ = 175432320. Its totient is φ = 18232704.

The previous prime is 64223113. The next prime is 64223147. The reversal of 64223124 is 42132246.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64223094 and 64223103.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 140304 + ... + 140760.

It is an arithmetic number, because the mean of its divisors is an integer number (2436560).

Almost surely, 264223124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64223124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87716160).

64223124 is an abundant number, since it is smaller than the sum of its proper divisors (111209196).

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

64223124 is a wasteful number, since it uses less digits than its factorization.

With its successor (64223125) it forms an eRAP, since the sums of their prime factors are consecutive (717 and 718).

64223124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 64223124 is about 8013.9331167661. The cubic root of 64223124 is about 400.4643025161.

The spelling of 64223124 in words is "sixty-four million, two hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 239 294 457 478 588 717 914 956 1371 1434 1673 1828 2742 2868 3199 3346 5019 5484 6398 6692 9597 10038 11711 12796 19194 20076 22393 23422 35133 38388 44786 46844 67179 70266 89572 109223 134358 140532 218446 268716 327669 436892 655338 764561 1310676 1529122 2293683 3058244 4587366 5351927 9174732 10703854 16055781 21407708 32111562 64223124