Search a number
-
+
35226000 = 24325319103
BaseRepresentation
bin1000011001100…
…0000110010000
32110021122222200
42012120012100
533004213000
63255003200
7605262465
oct206300620
973248880
1035226000
111897a8a7
12b969500
1373b48b4
14496d66c
15315c500
hex2198190

35226000 has 240 divisors, whose sum is σ = 130765440. Its totient is φ = 8812800.

The previous prime is 35225999. The next prime is 35226001. The reversal of 35226000 is 62253.

It is an interprime number because it is at equal distance from previous prime (35225999) and next prime (35226001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (35226001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341949 + ... + 342051.

It is an arithmetic number, because the mean of its divisors is an integer number (544856).

Almost surely, 235226000 is an apocalyptic number.

35226000 is a gapful number since it is divisible by the number (30) 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 35226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65382720).

35226000 is an abundant number, since it is smaller than the sum of its proper divisors (95539440).

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

35226000 is a wasteful number, since it uses less digits than its factorization.

35226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 35226000 is about 5935.1495347632. The cubic root of 35226000 is about 327.8091791126.

Adding to 35226000 its reverse (62253), we get a palindrome (35288253).

The spelling of 35226000 in words is "thirty-five million, two hundred twenty-six thousand".