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225192007937 = 13291591337537
BaseRepresentation
bin1101000110111001111…
…1010101100100000001
3210112021000111021200102
43101232133111210001
512142143123223222
6251241330132145
722161316325201
oct3215637254401
9715230437612
10225192007937
118755a021676
1237788421055
131830a572050
14ac83b6a401
155ccee22d92
hex346e7d5901

225192007937 has 16 divisors (see below), whose sum is σ = 250899487440. Its totient is φ = 200683671552.

The previous prime is 225192007913. The next prime is 225192007961. The reversal of 225192007937 is 739700291522.

225192007937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4745442+1.

It is an interprime number because it is at equal distance from previous prime (225192007913) and next prime (225192007961).

It can be written as a sum of positive squares in 8 ways, for example, as 628805776 + 224563202161 = 25076^2 + 473881^2 .

It is a de Polignac number, because none of the positive numbers 2k-225192007937 is a prime.

It is a super-2 number, since 2×2251920079372 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225192007891 and 225192007900.

It is not an unprimeable number, because it can be changed into a prime (225192007037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5980433 + ... + 6017969.

It is an arithmetic number, because the mean of its divisors is an integer number (15681217965).

Almost surely, 2225192007937 is an apocalyptic number.

It is an amenable number.

225192007937 is a deficient number, since it is larger than the sum of its proper divisors (25707479503).

225192007937 is a wasteful number, since it uses less digits than its factorization.

225192007937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53492.

The product of its (nonzero) digits is 476280, while the sum is 47.

The spelling of 225192007937 in words is "two hundred twenty-five billion, one hundred ninety-two million, seven thousand, nine hundred thirty-seven".

Divisors: 1 13 29 377 15913 37537 206869 461477 487981 1088573 5999201 14151449 597326281 7765241653 17322462149 225192007937