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1022157253 = 13233337457
BaseRepresentation
bin111100111011001…
…110000111000101
32122020100222011001
4330323032013011
54043133013003
6245232213301
734221123205
oct7473160705
92566328131
101022157253
11484a87967
1224639a231
131339c74a0
1499a78405
155eb0b61d
hex3cece1c5

1022157253 has 8 divisors (see below), whose sum is σ = 1105512408. Its totient is φ = 939477504.

The previous prime is 1022157239. The next prime is 1022157259. The reversal of 1022157253 is 3527512201.

It can be written as a sum of positive squares in 4 ways, for example, as 12061729 + 1010095524 = 3473^2 + 31782^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1022157253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022157259) 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 7 ways as a sum of consecutive naturals, for example, 165700 + ... + 171757.

It is an arithmetic number, because the mean of its divisors is an integer number (138189051).

Almost surely, 21022157253 is an apocalyptic number.

1022157253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1022157253 is a deficient number, since it is larger than the sum of its proper divisors (83355155).

1022157253 is a wasteful number, since it uses less digits than its factorization.

1022157253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337703.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 1022157253 is about 31971.1941128260. The cubic root of 1022157253 is about 1007.3318634013.

Adding to 1022157253 its reverse (3527512201), we get a palindrome (4549669454).

The spelling of 1022157253 in words is "one billion, twenty-two million, one hundred fifty-seven thousand, two hundred fifty-three".

Divisors: 1 13 233 3029 337457 4386941 78627481 1022157253