Search a number
-
+
222311012200 = 235253139150883
BaseRepresentation
bin1100111100001011000…
…1001101011101101000
3210020211020101112111121
43033002301031131220
512120243104342300
6250043412305024
722030034265544
oct3170261153550
9706736345447
10222311012200
1186310852962
1237103612174
1317c6b726444
14aa8d2a0a24
155bb203981a
hex33c2c4d768

222311012200 has 96 divisors (see below), whose sum is σ = 530417613600. Its totient is φ = 86618338560.

The previous prime is 222311012173. The next prime is 222311012201. The reversal of 222311012200 is 2210113222.

It is a happy number.

222311012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2223110122002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222311012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397959 + ... + 1548841.

It is an arithmetic number, because the mean of its divisors is an integer number (5525183475).

Almost surely, 2222311012200 is an apocalyptic number.

222311012200 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 222311012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265208806800).

222311012200 is an abundant number, since it is smaller than the sum of its proper divisors (308106601400).

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

222311012200 is a wasteful number, since it uses less digits than its factorization.

222311012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151091 (or 151082 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 222311012200 its reverse (2210113222), we get a palindrome (224521125422).

The spelling of 222311012200 in words is "two hundred twenty-two billion, three hundred eleven million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 139 200 212 265 278 424 530 556 695 1060 1112 1325 1390 2120 2650 2780 3475 5300 5560 6950 7367 10600 13900 14734 27800 29468 36835 58936 73670 147340 150883 184175 294680 301766 368350 603532 736700 754415 1207064 1473400 1508830 3017660 3772075 6035320 7544150 7996799 15088300 15993598 20972737 30176600 31987196 39983995 41945474 63974392 79967990 83890948 104863685 159935980 167781896 199919975 209727370 319871960 399839950 419454740 524318425 799679900 838909480 1048636850 1111555061 1599359800 2097273700 2223110122 4194547400 4446220244 5557775305 8892440488 11115550610 22231101220 27788876525 44462202440 55577753050 111155506100 222311012200