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229368970080 = 2534528162983
BaseRepresentation
bin1101010110011101110…
…1001011101101100000
3210221001010011221120000
43111213131023231200
512224221424020310
6253212021020000
722366656035325
oct3254735135540
9727033157500
10229368970080
11893028930a8
1238553254600
1318824a42993
14b15c7c6b4c
155e769a14c0
hex356774bb60

229368970080 has 240 divisors, whose sum is σ = 812374938144. Its totient is φ = 60946421760.

The previous prime is 229368970079. The next prime is 229368970087. The reversal of 229368970080 is 80079863922.

It is a happy number.

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

It is a super-2 number, since 2×2293689700802 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 229368969999 and 229368970026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229368970087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3610269 + ... + 3673251.

Almost surely, 2229368970080 is an apocalyptic number.

229368970080 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 229368970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406187469072).

229368970080 is an abundant number, since it is smaller than the sum of its proper divisors (583005968064).

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

229368970080 is a wasteful number, since it uses less digits than its factorization.

229368970080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63291 (or 63274 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 229368970080 in words is "two hundred twenty-nine billion, three hundred sixty-eight million, nine hundred seventy thousand, eighty".