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22161931740 = 223251319498469
BaseRepresentation
bin10100101000111101…
…000011110111011100
32010012111120210001200
4110220331003313130
5330341423303430
614103035035500
71413123211614
oct245075036734
963174523050
1022161931740
119442918373
124365b9bb90
13212256aaa0
141103493a44
1589a968460
hex528f43ddc

22161931740 has 144 divisors (see below), whose sum is σ = 76206093600. Its totient is φ = 5168116224.

The previous prime is 22161931739. The next prime is 22161931763. The reversal of 22161931740 is 4713916122.

22161931740 is a `hidden beast` number, since 2 + 2 + 1 + 619 + 31 + 7 + 4 + 0 = 666.

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 = 22161931695 and 22161931704.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 204775 + ... + 293694.

Almost surely, 222161931740 is an apocalyptic number.

22161931740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22161931740 is an abundant number, since it is smaller than the sum of its proper divisors (54044161860).

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

22161931740 is a wasteful number, since it uses less digits than its factorization.

22161931740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498516 (or 498511 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 22161931740 in words is "twenty-two billion, one hundred sixty-one million, nine hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 498469 996938 1495407 1993876 2492345 2990814 4486221 4984690 5981628 6480097 7477035 8972442 9470911 9969380 12960194 14954070 17944884 18941822 19440291 22431105 25920388 28412733 29908140 32400485 37883644 38880582 44862210 47354555 56825466 58320873 64800970 77761164 85238199 89724420 94709110 97201455 113650932 116641746 123121843 129601940 142063665 170476398 189418220 194402910 233283492 246243686 284127330 291604365 340952796 369365529 388805820 426190995 492487372 568254660 583208730 615609215 738731058 852381990 1108096587 1166417460 1231218430 1477462116 1704763980 1846827645 2216193174 2462436860 3693655290 4432386348 5540482935 7387310580 11080965870 22161931740