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2302085088 = 2532232271531
BaseRepresentation
bin1000100100110111…
…0000011111100000
312221102210001001200
42021031300133200
514203313210323
61020233401200
7111022254222
oct21115603740
95842701050
102302085088
11a81515666
12542b69200
132a8c25234
1417ba52412
15d7184443
hex893707e0

2302085088 has 144 divisors (see below), whose sum is σ = 6865762176. Its totient is φ = 730287360.

The previous prime is 2302085083. The next prime is 2302085101. The reversal of 2302085088 is 8805802032.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302085083) 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, 1502883 + ... + 1504413.

It is an arithmetic number, because the mean of its divisors is an integer number (47678904).

Almost surely, 22302085088 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 2302085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432881088).

2302085088 is an abundant number, since it is smaller than the sum of its proper divisors (4563677088).

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

2302085088 is a wasteful number, since it uses less digits than its factorization.

2302085088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2302085088 is about 47980.0488536642. The cubic root of 2302085088 is about 1320.4048895678.

The spelling of 2302085088 in words is "two billion, three hundred two million, eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 227 276 288 368 414 454 552 681 736 828 908 1104 1362 1531 1656 1816 2043 2208 2724 3062 3312 3632 4086 4593 5221 5448 6124 6624 7264 8172 9186 10442 10896 12248 13779 15663 16344 18372 20884 21792 24496 27558 31326 32688 35213 36744 41768 46989 48992 55116 62652 65376 70426 73488 83536 93978 105639 110232 125304 140852 146976 167072 187956 211278 220464 250608 281704 316917 347537 375912 422556 440928 501216 563408 633834 695074 751824 845112 1042611 1126816 1267668 1390148 1503648 1690224 2085222 2535336 2780296 3127833 3380448 4170444 5070672 5560592 6255666 7993351 8340888 10141344 11121184 12511332 15986702 16681776 23980053 25022664 31973404 33363552 47960106 50045328 63946808 71940159 95920212 100090656 127893616 143880318 191840424 255787232 287760636 383680848 575521272 767361696 1151042544 2302085088