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1222114240 = 26531349353
BaseRepresentation
bin100100011010111…
…1111101111000000
310011011121211120101
41020311333233000
510000330123430
6321134052144
742166541164
oct11065775700
93134554511
101222114240
11577940576
122a134a054
13166268029
14b8448ca4
1572457dca
hex48d7fbc0

1222114240 has 112 divisors (see below), whose sum is σ = 3021177600. Its totient is φ = 470384640.

The previous prime is 1222114217. The next prime is 1222114247. The reversal of 1222114240 is 424112221.

It is a super-2 number, since 2×12221142402 = 2987126431221555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222114247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3461904 + ... + 3462256.

It is an arithmetic number, because the mean of its divisors is an integer number (26974800).

Almost surely, 21222114240 is an apocalyptic number.

1222114240 is a gapful number since it is divisible by the number (10) 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 1222114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510588800).

1222114240 is an abundant number, since it is smaller than the sum of its proper divisors (1799063360).

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

1222114240 is a wasteful number, since it uses less digits than its factorization.

1222114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1222114240 is about 34958.7505497551. The cubic root of 1222114240 is about 1069.1466220999.

Adding to 1222114240 its reverse (424112221), we get a palindrome (1646226461).

The spelling of 1222114240 in words is "one billion, two hundred twenty-two million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 349 353 496 620 698 706 992 1240 1396 1412 1745 1765 1984 2480 2792 2824 3490 3530 4960 5584 5648 6980 7060 9920 10819 10943 11168 11296 13960 14120 21638 21886 22336 22592 27920 28240 43276 43772 54095 54715 55840 56480 86552 87544 108190 109430 111680 112960 123197 173104 175088 216380 218860 246394 346208 350176 432760 437720 492788 615985 692416 700352 865520 875440 985576 1231970 1731040 1750880 1971152 2463940 3462080 3501760 3819107 3942304 4927880 7638214 7884608 9855760 15276428 19095535 19711520 30552856 38191070 39423040 61105712 76382140 122211424 152764280 244422848 305528560 611057120 1222114240