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2253000288 = 253711304789
BaseRepresentation
bin1000011001001010…
…0000111001100000
312211000102021101010
42012102200321200
514103232002123
61011321340520
7106555120650
oct20622407140
95730367333
102253000288
11a5683a510
1252a637740
1329b9ca586
14175316360
15d2bda993
hex864a0e60

2253000288 has 96 divisors (see below), whose sum is σ = 7373479680. Its totient is φ = 585192960.

The previous prime is 2253000287. The next prime is 2253000301. The reversal of 2253000288 is 8820003522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253000287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145003 + ... + 159786.

It is an arithmetic number, because the mean of its divisors is an integer number (76807080).

Almost surely, 22253000288 is an apocalyptic number.

2253000288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2253000288 is an abundant number, since it is smaller than the sum of its proper divisors (5120479392).

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

2253000288 is a wasteful number, since it uses less digits than its factorization.

2253000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304820 (or 304812 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2253000288 is about 47465.7801789879. The cubic root of 2253000288 is about 1310.9528812934.

The spelling of 2253000288 in words is "two billion, two hundred fifty-three million, two hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 304789 609578 914367 1219156 1828734 2133523 2438312 3352679 3657468 4267046 4876624 6400569 6705358 7314936 8534092 9753248 10058037 12801138 13410716 14629872 17068184 20116074 23468753 25602276 26821432 29259744 34136368 40232148 46937506 51204552 53642864 68272736 70406259 80464296 93875012 102409104 107285728 140812518 160928592 187750024 204818208 281625036 321857184 375500048 563250072 751000096 1126500144 2253000288