Search a number
-
+
1225213248 = 26372314201
BaseRepresentation
bin100100100000111…
…0100010101000000
310011101110021121110
41021001310111000
510002123310443
6321324323320
742235066200
oct11101642500
93141407543
101225213248
11579667936
122a23a3540
13166ab176c
14b8a14400
157286b233
hex49074540

1225213248 has 168 divisors, whose sum is σ = 3893539584. Its totient is φ = 338688000.

The previous prime is 1225213247. The next prime is 1225213277. The reversal of 1225213248 is 8423125221.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×12252132482 = 3002295006149419008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225213247) 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, 289548 + ... + 293748.

Almost surely, 21225213248 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 1225213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946769792).

1225213248 is an abundant number, since it is smaller than the sum of its proper divisors (2668326336).

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

1225213248 is a wasteful number, since it uses less digits than its factorization.

1225213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4244 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 1225213248 is about 35003.0462674322. The cubic root of 1225213248 is about 1070.0495647696.

Adding to 1225213248 its reverse (8423125221), we get a palindrome (9648338469).

The spelling of 1225213248 in words is "one billion, two hundred twenty-five million, two hundred thirteen thousand, two hundred forty-eight".