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229948695920 = 24553383141601
BaseRepresentation
bin1101011000101000000…
…0101010010101110000
3210222112112001001220102
43112022000222111300
512231413331232140
6253345330331532
722420225444166
oct3261200522560
9728475031812
10229948695920
1189580053769
1238695429ba8
13188b7b90418
14b1b57b3236
155eac816e15
hex358a02a570

229948695920 has 80 divisors (see below), whose sum is σ = 546144187392. Its totient is φ = 90007756800.

The previous prime is 229948695871. The next prime is 229948695923. The reversal of 229948695920 is 29596849922.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229948695923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1553120 + ... + 1694720.

Almost surely, 2229948695920 is an apocalyptic number.

229948695920 is a gapful number since it is divisible by the number (20) 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 229948695920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273072093696).

229948695920 is an abundant number, since it is smaller than the sum of its proper divisors (316195491472).

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

229948695920 is a wasteful number, since it uses less digits than its factorization.

229948695920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142050 (or 142044 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 65.

The spelling of 229948695920 in words is "two hundred twenty-nine billion, nine hundred forty-eight million, six hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 383 424 530 766 848 1060 1532 1915 2120 3064 3830 4240 6128 7660 15320 20299 30640 40598 81196 101495 141601 162392 202990 283202 324784 405980 566404 708005 811960 1132808 1416010 1623920 2265616 2832020 5664040 7504853 11328080 15009706 30019412 37524265 54233183 60038824 75048530 108466366 120077648 150097060 216932732 271165915 300194120 433865464 542331830 600388240 867730928 1084663660 2169327320 2874358699 4338654640 5748717398 11497434796 14371793495 22994869592 28743586990 45989739184 57487173980 114974347960 229948695920