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64225440 = 2533514867
BaseRepresentation
bin1111010100000…
…0000010100000
311110211222202000
43311000002200
5112420203230
610212324000
71406623116
oct365000240
9143758660
1064225440
1133287584
1219613600
13103c9326
14875bab6
155989b60
hex3d400a0

64225440 has 96 divisors (see below), whose sum is σ = 224804160. Its totient is φ = 17125632.

The previous prime is 64225429. The next prime is 64225457. The reversal of 64225440 is 4452246.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3114 + ... + 11753.

It is an arithmetic number, because the mean of its divisors is an integer number (2341710).

Almost surely, 264225440 is an apocalyptic number.

64225440 is a gapful number since it is divisible by the number (60) 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 64225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112402080).

64225440 is an abundant number, since it is smaller than the sum of its proper divisors (160578720).

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

64225440 is a wasteful number, since it uses less digits than its factorization.

64225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14891 (or 14877 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 64225440 is about 8014.0776137994. The cubic root of 64225440 is about 400.4691162764.

Adding to 64225440 its reverse (4452246), we get a palindrome (68677686).

The spelling of 64225440 in words is "sixty-four million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 14867 29734 44601 59468 74335 89202 118936 133803 148670 178404 223005 237872 267606 297340 356808 401409 446010 475744 535212 594680 669015 713616 802818 892020 1070424 1189360 1338030 1427232 1605636 1784040 2007045 2140848 2378720 2676060 3211272 3568080 4014090 4281696 5352120 6422544 7136160 8028180 10704240 12845088 16056360 21408480 32112720 64225440