Search a number
-
+
22301312320 = 265719523997
BaseRepresentation
bin10100110001010000…
…110000010101000000
32010120012212001021101
4110301100300111000
5331133113443240
614124534304144
71416435012160
oct246120602500
963505761241
1022301312320
119504567031
1243a47b8054
1321453bc1c1
141117bb65a0
158a7ceb39a
hex531430540

22301312320 has 112 divisors (see below), whose sum is σ = 63885836160. Its totient is φ = 7243720704.

The previous prime is 22301312311. The next prime is 22301312333. The reversal of 22301312320 is 2321310322.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219439 + ... + 304558.

Almost surely, 222301312320 is an apocalyptic number.

22301312320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22301312320 is an abundant number, since it is smaller than the sum of its proper divisors (41584523840).

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

22301312320 is a wasteful number, since it uses less digits than its factorization.

22301312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524040 (or 524030 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 22301312320 its reverse (2321310322), we get a palindrome (24622622642).

The spelling of 22301312320 in words is "twenty-two billion, three hundred one million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 760 1064 1120 1216 1330 1520 2128 2240 2660 3040 4256 5320 6080 8512 10640 21280 42560 523997 1047994 2095988 2619985 3667979 4191976 5239970 7335958 8383952 9955943 10479940 14671916 16767904 18339895 19911886 20959880 29343832 33535808 36679790 39823772 41919760 49779715 58687664 69691601 73359580 79647544 83839520 99559430 117375328 139383202 146719160 159295088 167679040 199118860 234750656 278766404 293438320 318590176 348458005 398237720 557532808 586876640 637180352 696916010 796475440 1115065616 1173753280 1393832020 1592950880 2230131232 2787664040 3185901760 4460262464 5575328080 11150656160 22301312320