Search a number
-
+
245233144200 = 233521124182387
BaseRepresentation
bin1110010001100100001…
…0001101000110001000
3212102222201102111021110
43210121002031012020
513004214141103300
6304354125210320
723501051221662
oct3443102150610
9772881374243
10245233144200
1195003797a00
123b6401009a0
131a182620765
14bc256bd532
1565a45b7550
hex391908d188

245233144200 has 288 divisors, whose sum is σ = 856008024480. Its totient is φ = 57999744000.

The previous prime is 245233144199. The next prime is 245233144201. The reversal of 245233144200 is 2441332542.

It is an interprime number because it is at equal distance from previous prime (245233144199) and next prime (245233144201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (245233144201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2935407 + ... + 3017793.

It is an arithmetic number, because the mean of its divisors is an integer number (2972250085).

Almost surely, 2245233144200 is an apocalyptic number.

245233144200 is a gapful number since it is divisible by the number (20) 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 245233144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428004012240).

245233144200 is an abundant number, since it is smaller than the sum of its proper divisors (610774880280).

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

245233144200 is a wasteful number, since it uses less digits than its factorization.

245233144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82469 (or 82449 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 245233144200 its reverse (2441332542), we get a palindrome (247674476742).

The spelling of 245233144200 in words is "two hundred forty-five billion, two hundred thirty-three million, one hundred forty-four thousand, two hundred".