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2190928296 = 2332323916607
BaseRepresentation
bin1000001010010110…
…1110100110101000
312122200121200121110
42002211232212220
513441334201141
61001223110320
7105202404024
oct20245564650
95580550543
102190928296
11a247a3947
125118a23a0
1328bba649b
1416ad99384
15cc528e16
hex8296e9a8

2190928296 has 64 divisors (see below), whose sum is σ = 5739724800. Its totient is φ = 695592128.

The previous prime is 2190928291. The next prime is 2190928301. The reversal of 2190928296 is 6928290912.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2190928291) and next prime (2190928301).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2190928291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123625 + ... + 140231.

It is an arithmetic number, because the mean of its divisors is an integer number (89683200).

Almost surely, 22190928296 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 2190928296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869862400).

2190928296 is an abundant number, since it is smaller than the sum of its proper divisors (3548796504).

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

2190928296 is a wasteful number, since it uses less digits than its factorization.

2190928296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16878 (or 16874 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 2190928296 is about 46807.3530121070. The cubic root of 2190928296 is about 1298.8013203301.

It can be divided in two parts, 21909 and 28296, that added together give a palindrome (50205).

The spelling of 2190928296 in words is "two billion, one hundred ninety million, nine hundred twenty-eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 239 276 478 552 717 956 1434 1912 2868 5497 5736 10994 16491 16607 21988 32982 33214 43976 49821 65964 66428 99642 131928 132856 199284 381961 398568 763922 1145883 1527844 2291766 3055688 3969073 4583532 7938146 9167064 11907219 15876292 23814438 31752584 47628876 91288679 95257752 182577358 273866037 365154716 547732074 730309432 1095464148 2190928296