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22661195920 = 24511311097621
BaseRepresentation
bin10101000110101101…
…100110100010010000
32011111022001000202121
4111012231212202100
5332402231232140
614224352024024
71431364662406
oct250655464220
964438030677
1022661195920
1196797219a0
124485232014
1321a1b25c8c
14114d8d7476
158c96d864a
hex546b66890

22661195920 has 160 divisors (see below), whose sum is σ = 59883310080. Its totient is φ = 7900416000.

The previous prime is 22661195897. The next prime is 22661195927. The reversal of 22661195920 is 2959116622.

It is not an unprimeable number, because it can be changed into a prime (22661195927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2969710 + ... + 2977330.

It is an arithmetic number, because the mean of its divisors is an integer number (374270688).

Almost surely, 222661195920 is an apocalyptic number.

22661195920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22661195920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29941655040).

22661195920 is an abundant number, since it is smaller than the sum of its proper divisors (37222114160).

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

22661195920 is a wasteful number, since it uses less digits than its factorization.

22661195920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 22661195920 in words is "twenty-two billion, six hundred sixty-one million, one hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 109 110 124 155 176 218 220 248 310 341 436 440 496 545 620 682 872 880 1090 1199 1240 1364 1705 1744 2180 2398 2480 2728 3379 3410 4360 4796 5456 5995 6758 6820 7621 8720 9592 11990 13516 13640 15242 16895 19184 23980 27032 27280 30484 33790 37169 38105 47960 54064 60968 67580 74338 76210 83831 95920 121936 135160 148676 152420 167662 185845 236251 270320 297352 304840 335324 371690 419155 472502 594704 609680 670648 743380 830689 838310 945004 1181255 1341296 1486760 1661378 1676620 1890008 2362510 2598761 2973520 3322756 3353240 3780016 4153445 4725020 5197522 6645512 6706480 8306890 9137579 9450040 10395044 12993805 13291024 16613780 18275158 18900080 20790088 25751359 25987610 33227560 36550316 41580176 45687895 51502718 51975220 66455120 73100632 91375790 103005436 103950440 128756795 146201264 182751580 206010872 207900880 257513590 283264949 365503160 412021744 515027180 566529898 731006320 1030054360 1133059796 1416324745 2060108720 2266119592 2832649490 4532239184 5665298980 11330597960 22661195920