Search a number
-
+
229690356480 = 28335131722961
BaseRepresentation
bin1101010111101010011…
…1001011001100000000
3210221212111221001211000
43111322213023030000
512230401212401410
6253303541252000
722410640550034
oct3257247131400
9727774831730
10229690356480
11894582444a2
1238622a04000
13188764bac50
14b18d3661c4
155e94cd6dc0
hex357a9cb300

229690356480 has 1728 divisors, whose sum is σ = 980418499200. Its totient is φ = 50536120320.

The previous prime is 229690356439. The next prime is 229690356481. The reversal of 229690356480 is 84653096922.

It is a happy number.

229690356480 is a `hidden beast` number, since 2 + 29 + 6 + 90 + 3 + 56 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (229690356481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3765415650 + ... + 3765415710.

Almost surely, 2229690356480 is an apocalyptic number.

229690356480 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 229690356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490209249600).

229690356480 is an abundant number, since it is smaller than the sum of its proper divisors (750728142720).

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

229690356480 is a wasteful number, since it uses less digits than its factorization.

229690356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 229690356480 in words is "two hundred twenty-nine billion, six hundred ninety million, three hundred fifty-six thousand, four hundred eighty".