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2212153121440 = 25513825957009
BaseRepresentation
bin100000001100001110100…
…110011101101010100000
321211110221202101001221101
4200030032212131222200
5242220442144341230
64412125450404144
7315552134166013
oct40141646355240
97743852331841
102212153121440
11783194847aa9
122b8891730654
131307b366a962
14790d6a4b37a
153c82336baca
hex2030e99daa0

2212153121440 has 24 divisors (see below), whose sum is σ = 5226211749780. Its totient is φ = 884861248512.

The previous prime is 2212153121411. The next prime is 2212153121557. The reversal of 2212153121440 is 441213512122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2173867155216 + 38285966224 = 1474404^2 + 195668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2212153121399 and 2212153121408.

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 3 ways as a sum of consecutive naturals, for example, 6912978345 + ... + 6912978664.

Almost surely, 22212153121440 is an apocalyptic number.

2212153121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212153121440 is an abundant number, since it is smaller than the sum of its proper divisors (3014058628340).

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

2212153121440 is a wasteful number, since it uses less digits than its factorization.

2212153121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13825957024 (or 13825957016 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 2212153121440 its reverse (441213512122), we get a palindrome (2653366633562).

The spelling of 2212153121440 in words is "two trillion, two hundred twelve billion, one hundred fifty-three million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13825957009 27651914018 55303828036 69129785045 110607656072 138259570090 221215312144 276519140180 442430624288 553038280360 1106076560720 2212153121440