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2265364998 = 2321349119717
BaseRepresentation
bin1000011100000110…
…1011101000000110
312211212200110120100
42013001223220012
514114413134443
61012442344530
7110065166451
oct20701535006
95755613510
102265364998
11a62815286
125327bb146
132a1439580
14176c14498
15d3d2e3d3
hex8706ba06

2265364998 has 48 divisors (see below), whose sum is σ = 5296885776. Its totient is φ = 695580480.

The previous prime is 2265364963. The next prime is 2265364999. The reversal of 2265364998 is 8994635622.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265364999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105036 + ... + 124752.

It is an arithmetic number, because the mean of its divisors is an integer number (110351787).

Almost surely, 22265364998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265364998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648442888).

2265364998 is an abundant number, since it is smaller than the sum of its proper divisors (3031520778).

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

2265364998 is a wasteful number, since it uses less digits than its factorization.

2265364998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20229 (or 20226 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2265364998 is about 47595.8506384748. The cubic root of 2265364998 is about 1313.3467246066.

The spelling of 2265364998 in words is "two billion, two hundred sixty-five million, three hundred sixty-four thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 491 982 1473 2946 4419 6383 8838 12766 19149 19717 38298 39434 57447 59151 114894 118302 177453 256321 354906 512642 768963 1537926 2306889 4613778 9681047 19362094 29043141 58086282 87129423 125853611 174258846 251707222 377560833 755121666 1132682499 2265364998