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2249495346 = 23731255733
BaseRepresentation
bin1000011000010100…
…1001001100110010
312210202211012111110
42012011021030302
514101332322341
61011114254150
7106513252320
oct20605111462
95722735443
102249495346
11a5486616a
12529427356
1329b071147
14174a82d10
15d2747216
hex86149332

2249495346 has 48 divisors (see below), whose sum is σ = 5313010752. Its totient is φ = 621969120.

The previous prime is 2249495321. The next prime is 2249495359. The reversal of 2249495346 is 6435949422.

It is a junction number, because it is equal to n+sod(n) for n = 2249495295 and 2249495304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12496 + ... + 68228.

It is an arithmetic number, because the mean of its divisors is an integer number (110687724).

Almost surely, 22249495346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249495346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656505376).

2249495346 is an abundant number, since it is smaller than the sum of its proper divisors (3063515406).

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

2249495346 is a wasteful number, since it uses less digits than its factorization.

2249495346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55807 (or 55776 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 2249495346 is about 47428.8450839782. The cubic root of 2249495346 is about 1310.2727218067.

The spelling of 2249495346 in words is "two billion, two hundred forty-nine million, four hundred ninety-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 961 1302 1922 2883 5766 6727 13454 20181 40362 55733 111466 167199 334398 390131 780262 1170393 1727723 2340786 3455446 5183169 10366338 12094061 24188122 36282183 53559413 72564366 107118826 160678239 321356478 374915891 749831782 1124747673 2249495346