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2290501395 = 345713193271
BaseRepresentation
bin1000100010000110…
…0100011100010011
312220121222112020000
42020201210130103
514142332021040
61015141221043
7110521640430
oct21041443423
95817875200
102290501395
11a75a23666
1253b101783
132a66ca890
1417a2b8b87
15d6147130
hex88864713

2290501395 has 160 divisors (see below), whose sum is σ = 5321057280. Its totient is φ = 915390720.

The previous prime is 2290501387. The next prime is 2290501439. The reversal of 2290501395 is 5931050922.

It is a happy number.

It is not a de Polignac number, because 2290501395 - 23 = 2290501387 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 698610 + ... + 701880.

It is an arithmetic number, because the mean of its divisors is an integer number (33256608).

Almost surely, 22290501395 is an apocalyptic number.

2290501395 is an abundant number, since it is smaller than the sum of its proper divisors (3030555885).

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

2290501395 is a wasteful number, since it uses less digits than its factorization.

2290501395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2290501395 is about 47859.1829746393. The cubic root of 2290501395 is about 1318.1864816965.

The spelling of 2290501395 in words is "two billion, two hundred ninety million, five hundred one thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 19 21 27 35 39 45 57 63 65 81 91 95 105 117 133 135 171 189 195 247 273 285 315 351 399 405 455 513 567 585 665 741 819 855 945 1053 1197 1235 1365 1539 1729 1755 1995 2223 2457 2565 2835 3271 3591 3705 4095 5187 5265 5985 6669 7371 7695 8645 9813 10773 11115 12285 15561 16355 17955 20007 22897 25935 29439 33345 36855 42523 46683 49065 53865 62149 68691 77805 88317 100035 114485 127569 140049 147195 186447 206073 212615 233415 264951 297661 310745 343455 382707 435043 441585 559341 618219 637845 700245 807937 892983 932235 1030365 1148121 1305129 1324755 1488305 1678023 1854657 1913535 2175215 2423811 2678949 2796705 3091095 3444363 3915387 4039685 4464915 5034069 5655559 5740605 6525645 7271433 8036847 8390115 9273285 11746161 12119055 13394745 16966677 17221815 19576935 21814299 24110541 25170345 28277795 35238483 36357165 40184235 50900031 58730805 65442897 84833385 109071495 120552705 152700093 176192415 254500155 327214485 458100279 763500465 2290501395