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229055247360 = 2103451753613
BaseRepresentation
bin1101010101010011000…
…0011011010000000000
3210220020020212011220000
43111110300123100000
512223101120403420
6253120532520000
722356126322662
oct3252460332000
9726206764800
10229055247360
1189161796625
1238486180000
13187a4a4ba34
14b12cc80532
155e59181690
hex3554c1b400

229055247360 has 880 divisors, whose sum is σ = 886929498576. Its totient is φ = 56311676928.

The previous prime is 229055247353. The next prime is 229055247361. The reversal of 229055247360 is 63742550922.

229055247360 is a `hidden beast` number, since 2 + 2 + 90 + 5 + 524 + 7 + 36 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6784487424 + 222270759936 = 82368^2 + 471456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229055247361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 373662414 + ... + 373663026.

Almost surely, 2229055247360 is an apocalyptic number.

229055247360 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 229055247360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443464749288).

229055247360 is an abundant number, since it is smaller than the sum of its proper divisors (657874251216).

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

229055247360 is a wasteful number, since it uses less digits than its factorization.

229055247360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 229055247360 in words is "two hundred twenty-nine billion, fifty-five million, two hundred forty-seven thousand, three hundred sixty".