Search a number
-
+
229395559680 = 2833572713499
BaseRepresentation
bin1101010110100100001…
…0100111010100000000
3210221002222012211122000
43111221002213110000
512224300230402210
6253214410544000
722400431041120
oct3255102472400
9727088184560
10229395559680
11893168a4281
1238560138000
131882a3c2581
14b162148c80
155e78ea4ac0
hex35690a7500

229395559680 has 576 divisors, whose sum is σ = 934026240000. Its totient is φ = 52224860160.

The previous prime is 229395559661. The next prime is 229395559693. The reversal of 229395559680 is 86955593922.

229395559680 is a `hidden beast` number, since 2 + 2 + 9 + 39 + 5 + 5 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65558571 + ... + 65562069.

Almost surely, 2229395559680 is an apocalyptic number.

229395559680 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 229395559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467013120000).

229395559680 is an abundant number, since it is smaller than the sum of its proper divisors (704630680320).

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

229395559680 is a wasteful number, since it uses less digits than its factorization.

229395559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 229395559680 in words is "two hundred twenty-nine billion, three hundred ninety-five million, five hundred fifty-nine thousand, six hundred eighty".