Search a number
-
+
22722020000 = 25541676803
BaseRepresentation
bin10101001010010101…
…101000001010100000
32011122112111012201022
4111022111220022200
5333013314120000
614234403425012
71433033661161
oct251225501240
964575435638
1022722020000
1196aaa95a29
1244a1685168
1321b1601064
141157a0b768
158cec00585
hex54a5682a0

22722020000 has 120 divisors (see below), whose sum is σ = 56242571616. Its totient is φ = 9033056000.

The previous prime is 22722019993. The next prime is 22722020003. The reversal of 22722020000 is 2022722.

It is not an unprimeable number, because it can be changed into a prime (22722020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3336599 + ... + 3343401.

Almost surely, 222722020000 is an apocalyptic number.

22722020000 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 22722020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28121285808).

22722020000 is an abundant number, since it is smaller than the sum of its proper divisors (33520551616).

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

22722020000 is an equidigital number, since it uses as much as digits as its factorization.

22722020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7000 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

Adding to 22722020000 its reverse (2022722), we get a palindrome (22724042722).

The spelling of 22722020000 in words is "twenty-two billion, seven hundred twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 167 200 250 334 400 500 625 668 800 835 1000 1250 1336 1670 2000 2500 2672 3340 4000 4175 5000 5344 6680 6803 8350 10000 13360 13606 16700 20000 20875 26720 27212 33400 34015 41750 54424 66800 68030 83500 104375 108848 133600 136060 167000 170075 208750 217696 272120 334000 340150 417500 544240 668000 680300 835000 850375 1088480 1136101 1360600 1670000 1700750 2272202 2721200 3340000 3401500 4251875 4544404 5442400 5680505 6803000 8503750 9088808 11361010 13606000 17007500 18177616 22722020 27212000 28402525 34015000 36355232 45444040 56805050 68030000 90888080 113610100 136060000 142012625 181776160 227220200 284025250 454440400 568050500 710063125 908880800 1136101000 1420126250 2272202000 2840252500 4544404000 5680505000 11361010000 22722020000