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1222645140 = 223256792473
BaseRepresentation
bin100100011100000…
…0001010110010100
310011012121210211100
41020320001112110
510000444121030
6321153310100
742204212043
oct11070012624
93135553740
101222645140
11578173432
122a1565330
131663c2882
14b854655a
1572510360
hex48e01594

1222645140 has 36 divisors (see below), whose sum is σ = 3708690804. Its totient is φ = 326038656.

The previous prime is 1222645121. The next prime is 1222645147. The reversal of 1222645140 is 415462221.

1222645140 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 645 + 14 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 525051396 + 697593744 = 22914^2 + 26412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12226451402 = 2989722276731239200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222645147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3396057 + ... + 3396416.

It is an arithmetic number, because the mean of its divisors is an integer number (103019189).

Almost surely, 21222645140 is an apocalyptic number.

1222645140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222645140 is an abundant number, since it is smaller than the sum of its proper divisors (2486045664).

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

1222645140 is a wasteful number, since it uses less digits than its factorization.

1222645140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792488 (or 6792483 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1222645140 is about 34966.3429600523. The cubic root of 1222645140 is about 1069.3014160766.

The spelling of 1222645140 in words is "one billion, two hundred twenty-two million, six hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6792473 13584946 20377419 27169892 33962365 40754838 61132257 67924730 81509676 101887095 122264514 135849460 203774190 244529028 305661285 407548380 611322570 1222645140