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2293143168 = 27331319079
BaseRepresentation
bin1000100010101110…
…1001011010000000
312220210221202001110
42020223221122000
514144021040133
61015314003320
7110553252411
oct21053513200
95823852043
102293143168
11a77468448
1253bb76540
132a7114164
1417a7a5808
15d64b9c63
hex88ae9680

2293143168 has 64 divisors (see below), whose sum is σ = 6110942400. Its totient is φ = 761899008.

The previous prime is 2293143157. The next prime is 2293143179. The reversal of 2293143168 is 8613413922.

It is an interprime number because it is at equal distance from previous prime (2293143157) and next prime (2293143179).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110653 + ... + 129731.

It is an arithmetic number, because the mean of its divisors is an integer number (95483475).

Almost surely, 22293143168 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 2293143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055471200).

2293143168 is an abundant number, since it is smaller than the sum of its proper divisors (3817799232).

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

2293143168 is a wasteful number, since it uses less digits than its factorization.

2293143168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19409 (or 19397 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 2293143168 is about 47886.7744580902. The cubic root of 2293143168 is about 1318.6930682340.

The spelling of 2293143168 in words is "two billion, two hundred ninety-three million, one hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 313 384 626 939 1252 1878 2504 3756 5008 7512 10016 15024 19079 20032 30048 38158 40064 57237 60096 76316 114474 120192 152632 228948 305264 457896 610528 915792 1221056 1831584 2442112 3663168 5971727 7326336 11943454 17915181 23886908 35830362 47773816 71660724 95547632 143321448 191095264 286642896 382190528 573285792 764381056 1146571584 2293143168