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46220064 = 25311223173
BaseRepresentation
bin1011000001010…
…0001100100000
310012222020000020
42300110030200
543313020224
64330353440
71100602242
oct260241440
9105866006
1046220064
11240a9900
121358b880
139763a67
1461d2092
1540cec79
hex2c14320

46220064 has 144 divisors (see below), whose sum is σ = 139962816. Its totient is φ = 13319680.

The previous prime is 46220063. The next prime is 46220071. The reversal of 46220064 is 46002264.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46220063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267082 + ... + 267254.

It is an arithmetic number, because the mean of its divisors is an integer number (971964).

Almost surely, 246220064 is an apocalyptic number.

46220064 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 46220064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69981408).

46220064 is an abundant number, since it is smaller than the sum of its proper divisors (93742752).

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

46220064 is a wasteful number, since it uses less digits than its factorization.

46220064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

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

The square root of 46220064 is about 6798.5339596122. The cubic root of 46220064 is about 358.8752550607.

It can be divided in two parts, 462200 and 64, that added together give a palindrome (462264).

The spelling of 46220064 in words is "forty-six million, two hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 121 132 138 173 176 184 242 253 264 276 346 352 363 368 484 506 519 528 552 692 726 736 759 968 1012 1038 1056 1104 1384 1452 1518 1903 1936 2024 2076 2208 2768 2783 2904 3036 3806 3872 3979 4048 4152 5536 5566 5709 5808 6072 7612 7958 8096 8304 8349 11132 11418 11616 11937 12144 15224 15916 16608 16698 20933 22264 22836 23874 24288 30448 31832 33396 41866 43769 44528 45672 47748 60896 62799 63664 66792 83732 87538 89056 91344 95496 125598 127328 131307 133584 167464 175076 182688 190992 251196 262614 267168 334928 350152 381984 481459 502392 525228 669856 700304 962918 1004784 1050456 1400608 1444377 1925836 2009568 2100912 2888754 3851672 4201824 5777508 7703344 11555016 15406688 23110032 46220064