Search a number
-
+
35224450404 = 223111345744917
BaseRepresentation
bin100000110011100010…
…100111010101100100
310100220212000111000020
4200303202213111210
51034114424403104
624103142115140
72354615613453
oct406342472544
9110825014006
1035224450404
1113a36313a40
1269b071bab0
13342488bc80
1419c2254b9a
15db26192d9
hex8338a7564

35224450404 has 96 divisors (see below), whose sum is σ = 96772776576. Its totient is φ = 9831214080.

The previous prime is 35224450369. The next prime is 35224450423. The reversal of 35224450404 is 40405442253.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 761754 + ... + 806670.

It is an arithmetic number, because the mean of its divisors is an integer number (1008049756).

Almost surely, 235224450404 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 35224450404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48386388288).

35224450404 is an abundant number, since it is smaller than the sum of its proper divisors (61548326172).

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

35224450404 is a wasteful number, since it uses less digits than its factorization.

35224450404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45405 (or 45403 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 35224450404 its reverse (40405442253), we get a palindrome (75629892657).

The spelling of 35224450404 in words is "thirty-five billion, two hundred twenty-four million, four hundred fifty thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 457 572 858 914 1371 1716 1828 2742 5027 5484 5941 10054 11882 15081 17823 20108 23764 30162 35646 44917 60324 65351 71292 89834 130702 134751 179668 196053 261404 269502 392106 494087 539004 583921 784212 988174 1167842 1482261 1751763 1976348 2335684 2964522 3503526 5929044 6423131 7007052 12846262 19269393 20527069 25692524 38538786 41054138 61581207 77077572 82108276 123162414 225797759 246324828 266851897 451595518 533703794 677393277 800555691 903191036 1067407588 1354786554 1601111382 2709573108 2935370867 3202222764 5870741734 8806112601 11741483468 17612225202 35224450404