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228380321232 = 243372312132707
BaseRepresentation
bin1101010010110010000…
…1110010010111010000
3210211111012212101022000
43110230201302113100
512220210330234412
6252525542514000
722333322462220
oct3245441622720
9724435771260
10228380321232
1188945812638
1238318135900
13186c7c7b36b
14b0a7392080
155e19cb34dc
hex352c8725d0

228380321232 has 320 divisors, whose sum is σ = 782690856960. Its totient is φ = 62340005376.

The previous prime is 228380321219. The next prime is 228380321263. The reversal of 228380321232 is 232123083822.

It is a happy number.

228380321232 is a `hidden beast` number, since 2 + 28 + 3 + 80 + 321 + 232 = 666.

It is a super-2 number, since 2×2283803212322 (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84365223 + ... + 84367929.

It is an arithmetic number, because the mean of its divisors is an integer number (2445908928).

Almost surely, 2228380321232 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 228380321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391345428480).

228380321232 is an abundant number, since it is smaller than the sum of its proper divisors (554310535728).

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

228380321232 is a wasteful number, since it uses less digits than its factorization.

228380321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 228380321232 in words is "two hundred twenty-eight billion, three hundred eighty million, three hundred twenty-one thousand, two hundred thirty-two".