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128226744 = 233219671399
BaseRepresentation
bin1111010010010…
…01010110111000
322221021121000200
413221021112320
5230311223434
620420202200
73114623622
oct751112670
9287247020
10128226744
1166420718
1236b39360
1320747619
141305bc12
15b3cd199
hex7a495b8

128226744 has 96 divisors (see below), whose sum is σ = 371280000. Its totient is φ = 39859776.

The previous prime is 128226743. The next prime is 128226773. The reversal of 128226744 is 447622821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128226699 and 128226708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128226743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90957 + ... + 92355.

It is an arithmetic number, because the mean of its divisors is an integer number (3867500).

Almost surely, 2128226744 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 128226744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185640000).

128226744 is an abundant number, since it is smaller than the sum of its proper divisors (243053256).

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

128226744 is a wasteful number, since it uses less digits than its factorization.

128226744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1490 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 128226744 is about 11323.7248288715. The cubic root of 128226744 is about 504.2658272668.

The spelling of 128226744 in words is "one hundred twenty-eight million, two hundred twenty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 67 72 76 114 134 152 171 201 228 268 342 402 456 536 603 684 804 1206 1273 1368 1399 1608 2412 2546 2798 3819 4197 4824 5092 5596 7638 8394 10184 11192 11457 12591 15276 16788 22914 25182 26581 30552 33576 45828 50364 53162 79743 91656 93733 100728 106324 159486 187466 212648 239229 281199 318972 374932 478458 562398 637944 749864 843597 956916 1124796 1687194 1780927 1913832 2249592 3374388 3561854 5342781 6748776 7123708 10685562 14247416 16028343 21371124 32056686 42742248 64113372 128226744