Search a number
-
+
630228134400 = 2935217965423
BaseRepresentation
bin10010010101111001000…
…01100010101000000000
32020020201200102101102120
421022330201202220000
540311201400300100
61201304532044240
763350432516514
oct11127441425000
92206650371376
10630228134400
11223307396357
12a2186163680
134757937a677
1422708b16144
15115d8a0c0a0
hex92bc862a00

630228134400 has 240 divisors, whose sum is σ = 2204387374464. Its totient is φ = 158174740480.

The previous prime is 630228134369. The next prime is 630228134401. The reversal of 630228134400 is 4431822036.

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

It is not an unprimeable number, because it can be changed into a prime (630228134401) 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, 170089 + ... + 1135511.

Almost surely, 2630228134400 is an apocalyptic number.

630228134400 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 630228134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102193687232).

630228134400 is an abundant number, since it is smaller than the sum of its proper divisors (1574159240064).

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

630228134400 is a wasteful number, since it uses less digits than its factorization.

630228134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965471 (or 965450 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 630228134400 its reverse (4431822036), we get a palindrome (634659956436).

The spelling of 630228134400 in words is "six hundred thirty billion, two hundred twenty-eight million, one hundred thirty-four thousand, four hundred".