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228594169344 = 2932314943427
BaseRepresentation
bin1101010011100101000…
…1100011011000000000
3210212001010020222202110
43110321101203120000
512221130101404334
6253003102215320
722341530244132
oct3247121433000
9725033228673
10228594169344
1188a454a3912
1238377884540
13187303738c8
14b0c793b052
155e2d955ae9
hex3539463600

228594169344 has 160 divisors (see below), whose sum is σ = 639746553600. Its totient is φ = 72394268672.

The previous prime is 228594169261. The next prime is 228594169361. The reversal of 228594169344 is 443961495822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5242159 + ... + 5285585.

It is an arithmetic number, because the mean of its divisors is an integer number (3998415960).

Almost surely, 2228594169344 is an apocalyptic number.

228594169344 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 228594169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319873276800).

228594169344 is an abundant number, since it is smaller than the sum of its proper divisors (411152384256).

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

228594169344 is a wasteful number, since it uses less digits than its factorization.

228594169344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43620 (or 43604 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The spelling of 228594169344 in words is "two hundred twenty-eight billion, five hundred ninety-four million, one hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 149 184 192 256 276 298 368 384 447 512 552 596 736 768 894 1104 1192 1472 1536 1788 2208 2384 2944 3427 3576 4416 4768 5888 6854 7152 8832 9536 10281 11776 13708 14304 17664 19072 20562 27416 28608 35328 38144 41124 43427 54832 57216 76288 82248 86854 109664 114432 130281 164496 173708 219328 228864 260562 328992 347416 438656 521124 657984 694832 877312 998821 1042248 1315968 1389664 1754624 1997642 2084496 2631936 2779328 2996463 3995284 4168992 5263872 5558656 5992926 6470623 7990568 8337984 11117312 11985852 12941246 15981136 16675968 19411869 22234624 23971704 25882492 31962272 33351936 38823738 47943408 51764984 63924544 66703872 77647476 95886816 103529968 127849088 148824329 155294952 191773632 207059936 255698176 297648658 310589904 383547264 414119872 446472987 511396352 595297316 621179808 767094528 828239744 892945974 1190594632 1242359616 1534189056 1656479488 1785891948 2381189264 2484719232 3312958976 3571783896 4762378528 4969438464 7143567792 9524757056 9938876928 14287135584 19049514112 28574271168 38099028224 57148542336 76198056448 114297084672 228594169344