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22668628460 = 22561197257367
BaseRepresentation
bin10101000111001001…
…111101000111101100
32011111211000122021212
4111013021331013230
5332411132102320
614225215213552
71431515106542
oct250711750754
964454018255
1022668628460
119682939095
1244878172b8
1321a352902a
1411508add92
158ca1a59c5
hex54727d1ec

22668628460 has 96 divisors (see below), whose sum is σ = 48952366848. Its totient is φ = 8814919680.

The previous prime is 22668628441. The next prime is 22668628469. The reversal of 22668628460 is 6482686622.

It is a junction number, because it is equal to n+sod(n) for n = 22668628399 and 22668628408.

It is not an unprimeable number, because it can be changed into a prime (22668628469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61767197 + ... + 61767563.

It is an arithmetic number, because the mean of its divisors is an integer number (509920488).

Almost surely, 222668628460 is an apocalyptic number.

22668628460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22668628460 is an abundant number, since it is smaller than the sum of its proper divisors (26283738388).

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

22668628460 is a wasteful number, since it uses less digits than its factorization.

22668628460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 22668628460 in words is "twenty-two billion, six hundred sixty-eight million, six hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 197 244 257 305 367 394 514 610 734 788 985 1028 1220 1285 1468 1835 1970 2570 3670 3940 5140 7340 12017 15677 22387 24034 31354 44774 48068 50629 60085 62708 72299 78385 89548 94319 101258 111935 120170 144598 156770 188638 202516 223870 240340 253145 289196 313540 361495 377276 447740 471595 506290 722990 943190 1012580 1445980 1886380 3088369 4410239 5753459 6176738 8820478 11506918 12353476 15441845 17640956 18580843 22051195 23013836 28767295 30883690 37161686 44102390 57534590 61767380 74323372 88204780 92904215 115069180 185808430 371616860 1133431423 2266862846 4533725692 5667157115 11334314230 22668628460