Search a number
-
+
22200019968 = 210372147481
BaseRepresentation
bin10100101011001110…
…010110110000000000
32010022011020212021210
4110223032112300000
5330431201114333
614110515250120
71414065025200
oct245316266000
963264225253
1022200019968
119462372645
1243768a9940
13212a4153b9
14110856a400
1589de8da63
hex52b396c00

22200019968 has 132 divisors (see below), whose sum is σ = 68832209112. Its totient is φ = 6342819840.

The previous prime is 22200019967. The next prime is 22200019979. The reversal of 22200019968 is 86991000222.

It is not an unprimeable number, because it can be changed into a prime (22200019967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76788 + ... + 224268.

Almost surely, 222200019968 is an apocalyptic number.

22200019968 is a gapful number since it is divisible by the number (28) 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 22200019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34416104556).

22200019968 is an abundant number, since it is smaller than the sum of its proper divisors (46632189144).

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

22200019968 is a wasteful number, since it uses less digits than its factorization.

22200019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147518 (or 147493 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 22200019968 in words is "twenty-two billion, two hundred million, nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2352 2688 3072 3136 3584 4704 5376 6272 7168 9408 10752 12544 18816 21504 25088 37632 50176 75264 147481 150528 294962 442443 589924 884886 1032367 1179848 1769772 2064734 2359696 3097101 3539544 4129468 4719392 6194202 7079088 7226569 8258936 9438784 12388404 14158176 14453138 16517872 18877568 21679707 24776808 28316352 28906276 33035744 37755136 43359414 49553616 56632704 57812552 66071488 75510272 86718828 99107232 113265408 115625104 132142976 151020544 173437656 198214464 226530816 231250208 264285952 346875312 396428928 453061632 462500416 528571904 693750624 792857856 925000832 1057143808 1387501248 1585715712 1850001664 2775002496 3171431424 3700003328 5550004992 7400006656 11100009984 22200019968