Search a number
-
+
2228090240288 = 251125310857293
BaseRepresentation
bin100000011011000100100…
…001101111110100100000
321220000002102212121000102
4200123010201233310200
5243001112100142123
64423323122241532
7316655103362243
oct40330441576440
97800072777012
102228090240288
11789a22944300
122bb99aab62a8
131321533a86b3
1479ba94d125a
153ce57591028
hex206c486fd20

2228090240288 has 72 divisors (see below), whose sum is σ = 4912556387004. Its totient is φ = 993659363840.

The previous prime is 2228090240287. The next prime is 2228090240317. The reversal of 2228090240288 is 8820420908222.

It can be written as a sum of positive squares in 2 ways, for example, as 2160629528464 + 67460711824 = 1469908^2 + 259732^2 .

It is a super-2 number, since 2×22280902402882 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2228090240287) 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 11 ways as a sum of consecutive naturals, for example, 5223431 + ... + 5633862.

Almost surely, 22228090240288 is an apocalyptic number.

It is an amenable number.

2228090240288 is an abundant number, since it is smaller than the sum of its proper divisors (2684466146716).

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

2228090240288 is a wasteful number, since it uses less digits than its factorization.

2228090240288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857378 (or 10857359 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 2228090240288 in words is "two trillion, two hundred twenty-eight billion, ninety million, two hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 121 176 212 242 352 424 484 583 848 968 1166 1696 1936 2332 3872 4664 6413 9328 12826 18656 25652 51304 102608 205216 10857293 21714586 43429172 86858344 119430223 173716688 238860446 347433376 477720892 575436529 955441784 1150873058 1313732453 1910883568 2301746116 2627464906 3821767136 4603492232 5254929812 6329801819 9206984464 10509859624 12659603638 18413968928 21019719248 25319207276 42039438496 50638414552 69627820009 101276829104 139255640018 202553658208 278511280036 557022560072 1114045120144 2228090240288