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229307648544 = 2534137878647
BaseRepresentation
bin1101010110001111001…
…1010000101000100000
3210220212211210111020000
43111203303100220200
512224110224223134
6253201550420000
722365312565332
oct3254363205040
9726784714200
10229307648544
118928120a347
1238536801600
1318815122350
14b1545c3452
155e713dbe99
hex3563cd0a20

229307648544 has 240 divisors, whose sum is σ = 727270302528. Its totient is φ = 70458398208.

The previous prime is 229307648509. The next prime is 229307648597. The reversal of 229307648544 is 445846703922.

It is a happy number.

229307648544 is a `hidden beast` number, since 2 + 2 + 9 + 30 + 7 + 64 + 8 + 544 = 666.

229307648544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26514429 + ... + 26523075.

Almost surely, 2229307648544 is an apocalyptic number.

229307648544 is a gapful number since it is divisible by the number (24) 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 229307648544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363635151264).

229307648544 is an abundant number, since it is smaller than the sum of its proper divisors (497962653984).

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

229307648544 is a wasteful number, since it uses less digits than its factorization.

229307648544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 229307648544 in words is "two hundred twenty-nine billion, three hundred seven million, six hundred forty-eight thousand, five hundred forty-four".