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228093386528 = 257417232
BaseRepresentation
bin1101010001101101101…
…1001101111100100000
3210210202012221120212202
43110123123031330200
512214113401332103
6252441252512332
722323236540000
oct3243333157440
9723665846782
10228093386528
1188808852317
123825801b6a8
13186806a6407
14b07b220000
155dee9d5988
hex351b6cdf20

228093386528 has 90 divisors (see below), whose sum is σ = 524175047739. Its totient is φ = 97697573568.

The previous prime is 228093386449. The next prime is 228093386537. The reversal of 228093386528 is 825683390822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 114046693264 + 114046693264 = 337708^2 + 337708^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337708.

It is a super-2 number, since 2×2280933865282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 132380675 + ... + 132382397.

Almost surely, 2228093386528 is an apocalyptic number.

228093386528 is a gapful number since it is divisible by the number (28) 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 228093386528

228093386528 is an abundant number, since it is smaller than the sum of its proper divisors (296081661211).

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

228093386528 is an frugal number, since it uses more digits than its factorization.

228093386528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 228093386528 in words is "two hundred twenty-eight billion, ninety-three million, three hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 1723 2401 2744 3446 4802 5488 6892 9604 10976 12061 13784 19208 24122 27568 38416 48244 55136 76832 84427 96488 168854 192976 337708 385952 590989 675416 1181978 1350832 2363956 2701664 2968729 4136923 4727912 5937458 8273846 9455824 11874916 16547692 18911648 20781103 23749832 33095384 41562206 47499664 66190768 83124412 94999328 132381536 145467721 166248824 290935442 332497648 581870884 664995296 1018274047 1163741768 2036548094 2327483536 4073096188 4654967072 7127918329 8146192376 14255836658 16292384752 28511673316 32584769504 57023346632 114046693264 228093386528