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22257401130 = 23451710871487
BaseRepresentation
bin10100101110101001…
…001111110100101010
32010110011020010110000
4110232221033310222
5331040343314010
614120325203430
71415362534206
oct245651176452
963404203400
1022257401130
1194917a4998
124391b60576
132139286353
141112025b06
158a40257c0
hex52ea4fd2a

22257401130 has 160 divisors (see below), whose sum is σ = 63469080576. Its totient is φ = 5577278976.

The previous prime is 22257401123. The next prime is 22257401143. The reversal of 22257401130 is 3110475222.

22257401130 is a `hidden beast` number, since 2 + 2 + 257 + 401 + 1 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22257401094 and 22257401103.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 14967247 + ... + 14968733.

Almost surely, 222257401130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22257401130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31734540288).

22257401130 is an abundant number, since it is smaller than the sum of its proper divisors (41211679446).

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

22257401130 is a wasteful number, since it uses less digits than its factorization.

22257401130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 22257401130 its reverse (3110475222), we get a palindrome (25367876352).

The spelling of 22257401130 in words is "twenty-two billion, two hundred fifty-seven million, four hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1087 1377 1487 1530 2174 2295 2754 2974 3261 4461 4590 5435 6522 6885 7435 8922 9783 10870 13383 13770 14870 16305 18479 19566 22305 25279 26766 29349 32610 36958 40149 44610 48915 50558 55437 58698 66915 75837 80298 88047 92395 97830 110874 120447 126395 133830 146745 151674 166311 176094 184790 200745 227511 240894 252790 277185 293490 332622 379185 401490 440235 455022 498933 554370 602235 682533 758370 831555 880470 997866 1137555 1204470 1365066 1496799 1616369 1663110 2047599 2275110 2494665 2993598 3232738 3412665 4095198 4849107 4989330 6825330 7483995 8081845 9698214 10237995 14547321 14967990 16163690 20475990 24245535 27478273 29094642 43641963 48491070 54956546 72736605 82434819 87283926 130925889 137391365 145473210 164869638 218209815 247304457 261851778 274782730 412174095 436419630 494608914 654629445 741913371 824348190 1236522285 1309258890 1483826742 2225740113 2473044570 3709566855 4451480226 7419133710 11128700565 22257401130