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229970346928 = 247233110128513
BaseRepresentation
bin1101011000101101001…
…1010000001110110000
3210222121000210001111121
43112023103100032300
512231434402100203
6253351422352024
722420610460520
oct3261323201660
9728530701447
10229970346928
11895912a1463
12386a072b614
13188bc50117a
14b1b860b680
155eae6920bd
hex358b4d03b0

229970346928 has 160 divisors (see below), whose sum is σ = 553950830592. Its totient is φ = 90326016000.

The previous prime is 229970346923. The next prime is 229970346989. The reversal of 229970346928 is 829643079922.

It is not an unprimeable number, because it can be changed into a prime (229970346923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8051200 + ... + 8079712.

Almost surely, 2229970346928 is an apocalyptic number.

229970346928 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 229970346928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276975415296).

229970346928 is an abundant number, since it is smaller than the sum of its proper divisors (323980483664).

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

229970346928 is a wasteful number, since it uses less digits than its factorization.

229970346928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28683 (or 28677 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 229970346928 in words is "two hundred twenty-nine billion, nine hundred seventy million, three hundred forty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 101 112 124 161 184 202 217 248 322 368 404 434 496 644 707 713 808 868 1288 1414 1426 1616 1736 2323 2576 2828 2852 3131 3472 4646 4991 5656 5704 6262 9292 9982 11312 11408 12524 16261 18584 19964 21917 25048 28513 32522 37168 39928 43834 50096 57026 65044 72013 79856 87668 114052 130088 144026 175336 199591 228104 260176 288052 350672 399182 456208 504091 576104 655799 798364 883903 1008182 1152208 1311598 1596728 1767806 2016364 2623196 2879813 3193456 3535612 4032728 4590593 5246392 5759626 6187321 7071224 8065456 9181186 10492784 11519252 12374642 14142448 18362372 20158691 20329769 23038504 24749284 36724744 40317382 40659538 46077008 49498568 66235699 73449488 80634764 81319076 89274203 98997136 132471398 142308383 161269528 162638152 178548406 264942796 284616766 322539056 325276304 357096812 463649893 529885592 569233532 624919421 714193624 927299786 1059771184 1138467064 1249838842 1428387248 1854599572 2053306669 2276934128 2499677684 3709199144 4106613338 4999355368 7418398288 8213226676 9998710736 14373146683 16426453352 28746293366 32852906704 57492586732 114985173464 229970346928