Search a number
-
+
22271122560 = 273511599543
BaseRepresentation
bin10100101111011101…
…100101110010000000
32010111010001020201010
4110233131211302000
5331102401410220
614121535240520
71415620263321
oct245735456200
963433036633
1022271122560
119499517015
124396679140
13213c07ba3b
141113b98448
158a53361e0
hex52f765c80

22271122560 has 64 divisors (see below), whose sum is σ = 70989209280. Its totient is φ = 5938965504.

The previous prime is 22271122499. The next prime is 22271122591. The reversal of 22271122560 is 6522117222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5797852 + ... + 5801691.

It is an arithmetic number, because the mean of its divisors is an integer number (1109206395).

Almost surely, 222271122560 is an apocalyptic number.

22271122560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22271122560 is an abundant number, since it is smaller than the sum of its proper divisors (48718086720).

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

22271122560 is a wasteful number, since it uses less digits than its factorization.

22271122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11599565 (or 11599553 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 22271122560 its reverse (6522117222), we get a palindrome (28793239782).

The spelling of 22271122560 in words is "twenty-two billion, two hundred seventy-one million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 11599543 23199086 34798629 46398172 57997715 69597258 92796344 115995430 139194516 173993145 185592688 231990860 278389032 347986290 371185376 463981720 556778064 695972580 742370752 927963440 1113556128 1391945160 1484741504 1855926880 2227112256 2783890320 3711853760 4454224512 5567780640 7423707520 11135561280 22271122560