Search a number
-
+
64900224 = 273389211
BaseRepresentation
bin1111011110010…
…0110010000000
311112010021101000
43313210302000
5113103301344
610235012000
71415433324
oct367446200
9145107330
1064900224
11336a8554
121989a000
13105a44cc
148895984
155a6ea69
hex3de4c80

64900224 has 128 divisors (see below), whose sum is σ = 194616000. Its totient is φ = 21288960.

The previous prime is 64900223. The next prime is 64900229. The reversal of 64900224 is 42200946.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (64900223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307479 + ... + 307689.

Almost surely, 264900224 is an apocalyptic number.

64900224 is a gapful number since it is divisible by the number (64) 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 64900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97308000).

64900224 is an abundant number, since it is smaller than the sum of its proper divisors (129715776).

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

64900224 is a wasteful number, since it uses less digits than its factorization.

64900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64900224 is about 8056.0675270258. The cubic root of 64900224 is about 401.8667413067.

The spelling of 64900224 in words is "sixty-four million, nine hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 128 144 178 192 211 216 267 288 356 384 422 432 534 576 633 712 801 844 864 1068 1152 1266 1424 1602 1688 1728 1899 2136 2403 2532 2848 3204 3376 3456 3798 4272 4806 5064 5696 5697 6408 6752 7596 8544 9612 10128 11392 11394 12816 13504 15192 17088 18779 19224 20256 22788 25632 27008 30384 34176 37558 38448 40512 45576 51264 56337 60768 75116 76896 81024 91152 102528 112674 121536 150232 153792 169011 182304 225348 243072 300464 307584 338022 364608 450696 507033 600928 676044 729216 901392 1014066 1201856 1352088 1802784 2028132 2403712 2704176 3605568 4056264 5408352 7211136 8112528 10816704 16225056 21633408 32450112 64900224