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229214130048 = 2733479111549
BaseRepresentation
bin1101010101111000111…
…0100000111110000000
3210220122022211020222000
43111132032200332000
512223412304130143
6253144410144000
722363065646551
oct3253616407600
9726568736860
10229214130048
1189233445532
123850b422000
13187cb93aa67
14b145ddc328
155e680b7bd3
hex355e3a0f80

229214130048 has 256 divisors, whose sum is σ = 692098560000. Its totient is φ = 74648770560.

The previous prime is 229214130031. The next prime is 229214130053. The reversal of 229214130048 is 840031412922.

It is a super-2 number, since 2×2292141300482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229214129994 and 229214130021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147974778 + ... + 147976326.

It is an arithmetic number, because the mean of its divisors is an integer number (2703510000).

Almost surely, 2229214130048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229214130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280000).

229214130048 is an abundant number, since it is smaller than the sum of its proper divisors (462884429952).

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

229214130048 is a wasteful number, since it uses less digits than its factorization.

229214130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 229214130048 in words is "two hundred twenty-nine billion, two hundred fourteen million, one hundred thirty thousand, forty-eight".