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2265298488 = 23358913093
BaseRepresentation
bin1000011100000101…
…1011011000111000
312211212120002100000
42013001123120320
514114404022423
61012441113000
7110064501525
oct20701333070
95755502300
102265298488
11a6277a312
12532788760
132a141520b
14176bd814c
15d3d19843
hex8705b638

2265298488 has 96 divisors (see below), whose sum is σ = 6434391600. Its totient is φ = 746558208.

The previous prime is 2265298481. The next prime is 2265298507. The reversal of 2265298488 is 8848925622.

It is a happy number.

2265298488 is a `hidden beast` number, since 2 + 26 + 52 + 98 + 488 = 666.

It is a super-2 number, since 2×22652984882 = 10263154479470172288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265298481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166470 + ... + 179562.

Almost surely, 22265298488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265298488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217195800).

2265298488 is an abundant number, since it is smaller than the sum of its proper divisors (4169093112).

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

2265298488 is a wasteful number, since it uses less digits than its factorization.

2265298488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13203 (or 13187 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 2265298488 is about 47595.1519379863. The cubic root of 2265298488 is about 1313.3338714099. Note that the first 3 decimals are identical.

The spelling of 2265298488 in words is "two billion, two hundred sixty-five million, two hundred ninety-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 89 108 162 178 216 243 267 324 356 486 534 648 712 801 972 1068 1602 1944 2136 2403 3204 4806 6408 7209 9612 13093 14418 19224 21627 26186 28836 39279 43254 52372 57672 78558 86508 104744 117837 157116 173016 235674 314232 353511 471348 707022 942696 1060533 1165277 1414044 2121066 2330554 2828088 3181599 3495831 4242132 4661108 6363198 6991662 8484264 9322216 10487493 12726396 13983324 20974986 25452792 27966648 31462479 41949972 62924958 83899944 94387437 125849916 188774874 251699832 283162311 377549748 566324622 755099496 1132649244 2265298488