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228327293700 = 2232521171932077
BaseRepresentation
bin1101010010100101011…
…1100000001100000100
3210211100112002022012100
43110221113200030010
512220103241344300
6252520410152100
722332106655052
oct3245127401404
9724315068170
10228327293700
1188918894230
1238302422630
13186b9ca2c1c
14b0a030b1d2
155e152db700
hex35295e0304

228327293700 has 216 divisors, whose sum is σ = 781851208320. Its totient is φ = 55273363200.

The previous prime is 228327293699. The next prime is 228327293707. The reversal of 228327293700 is 7392723822.

228327293700 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 272 + 9 + 370 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (228327293707) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7102062 + ... + 7134138.

It is an arithmetic number, because the mean of its divisors is an integer number (3619681520).

Almost surely, 2228327293700 is an apocalyptic number.

228327293700 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 228327293700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390925604160).

228327293700 is an abundant number, since it is smaller than the sum of its proper divisors (553523914620).

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

228327293700 is a wasteful number, since it uses less digits than its factorization.

228327293700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32827 (or 32817 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 228327293700 in words is "two hundred twenty-eight billion, three hundred twenty-seven million, two hundred ninety-three thousand, seven hundred".