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1225141290 = 232513612681
BaseRepresentation
bin100100100000110…
…0010110000101010
310011101022121220100
41021001202300222
510002114010130
6321323010230
742234346332
oct11101426052
93141277810
101225141290
1157961886a
122a2369976
13166a87a99
14b89d60c2
1572854c60
hex49062c2a

1225141290 has 24 divisors (see below), whose sum is σ = 3185367588. Its totient is φ = 326704320.

The previous prime is 1225141277. The next prime is 1225141303. The reversal of 1225141290 is 921415221.

1225141290 is a `hidden beast` number, since 1 + 22 + 514 + 129 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1225141277) and next prime (1225141303).

It can be written as a sum of positive squares in 2 ways, for example, as 1225070001 + 71289 = 35001^2 + 267^2 .

It is an unprimeable number.

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, 6806251 + ... + 6806430.

Almost surely, 21225141290 is an apocalyptic number.

1225141290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1225141290 is an abundant number, since it is smaller than the sum of its proper divisors (1960226298).

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

1225141290 is a wasteful number, since it uses less digits than its factorization.

1225141290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612694 (or 13612691 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1225141290 is about 35002.0183703740. The cubic root of 1225141290 is about 1070.0286159989.

The spelling of 1225141290 in words is "one billion, two hundred twenty-five million, one hundred forty-one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 13612681 27225362 40838043 68063405 81676086 122514129 136126810 204190215 245028258 408380430 612570645 1225141290