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2194675152 = 243471138609
BaseRepresentation
bin1000001011010000…
…0001010111010000
312122221200001022220
42002310001113100
513443314101102
61001435301040
7105246300555
oct20264012720
95587601286
102194675152
11a26922a1a
12512baa780
1328c8b8a67
1416b692a2c
15cca191bc
hex82d015d0

2194675152 has 80 divisors (see below), whose sum is σ = 5842126080. Its totient is φ = 709574656.

The previous prime is 2194675121. The next prime is 2194675159. The reversal of 2194675152 is 2515764912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2194675159) 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, 250624 + ... + 259232.

It is an arithmetic number, because the mean of its divisors is an integer number (73026576).

Almost surely, 22194675152 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 2194675152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921063040).

2194675152 is an abundant number, since it is smaller than the sum of its proper divisors (3647450928).

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

2194675152 is a wasteful number, since it uses less digits than its factorization.

2194675152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8774 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 2194675152 is about 46847.3601390729. The cubic root of 2194675152 is about 1299.5412882588.

The spelling of 2194675152 in words is "two billion, one hundred ninety-four million, six hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 113 141 188 226 282 339 376 452 564 678 752 904 1128 1356 1808 2256 2712 5311 5424 8609 10622 15933 17218 21244 25827 31866 34436 42488 51654 63732 68872 84976 103308 127464 137744 206616 254928 404623 413232 809246 972817 1213869 1618492 1945634 2427738 2918451 3236984 3891268 4855476 5836902 6473968 7782536 9710952 11673804 15565072 19421904 23347608 45722399 46695216 91444798 137167197 182889596 274334394 365779192 548668788 731558384 1097337576 2194675152