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228947602816 = 2717709148399
BaseRepresentation
bin1101010100111001010…
…1110010110110000000
3210212221202022021100001
43111032111302312000
512222341041242231
6253102125405344
722353351341332
oct3251625626600
9725852267301
10228947602816
1189106a53699
1238456109854
131878865c83a
14b11c85d452
155e4e9bbb61
hex354e572d80

228947602816 has 64 divisors (see below), whose sum is σ = 483620760000. Its totient is φ = 107587362816.

The previous prime is 228947602811. The next prime is 228947602837. The reversal of 228947602816 is 618206749822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2289476028162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228947602811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1468585 + ... + 1616983.

It is an arithmetic number, because the mean of its divisors is an integer number (7556574375).

Almost surely, 2228947602816 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 228947602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241810380000).

228947602816 is an abundant number, since it is smaller than the sum of its proper divisors (254673157184).

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

228947602816 is a wasteful number, since it uses less digits than its factorization.

228947602816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149139 (or 149127 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 228947602816 in words is "two hundred twenty-eight billion, nine hundred forty-seven million, six hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 709 1088 1418 2176 2836 5672 11344 12053 22688 24106 45376 48212 90752 96424 148399 192848 296798 385696 593596 771392 1187192 1542784 2374384 2522783 4748768 5045566 9497536 10091132 18995072 20182264 40364528 80729056 105214891 161458112 210429782 322916224 420859564 841719128 1683438256 1788653147 3366876512 3577306294 6733753024 7154612588 13467506048 14309225176 28618450352 57236900704 114473801408 228947602816