Search a number
-
+
2252202540 = 2235719312777
BaseRepresentation
bin1000011000111101…
…1110001000101100
312210221220202001220
42012033132020230
514103030440130
61011252303340
7106545256110
oct20617361054
95727822056
102252202540
11a56345115
1252a311b50
1329b7ab433
14175189740
15d2ace410
hex863de22c

2252202540 has 96 divisors (see below), whose sum is σ = 7213377024. Its totient is φ = 514337280.

The previous prime is 2252202539. The next prime is 2252202559. The reversal of 2252202540 is 452022522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2252202540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809632 + ... + 812408.

It is an arithmetic number, because the mean of its divisors is an integer number (75139344).

Almost surely, 22252202540 is an apocalyptic number.

2252202540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252202540 is an abundant number, since it is smaller than the sum of its proper divisors (4961174484).

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

2252202540 is a wasteful number, since it uses less digits than its factorization.

2252202540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4725 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2252202540 is about 47457.3760336578. The cubic root of 2252202540 is about 1310.7981345314.

The spelling of 2252202540 in words is "two billion, two hundred fifty-two million, two hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1931 2777 3862 5554 5793 7724 8331 9655 11108 11586 13517 13885 16662 19310 19439 23172 27034 27770 28965 33324 38620 38878 40551 41655 54068 55540 57930 58317 67585 77756 81102 83310 97195 115860 116634 135170 162204 166620 194390 202755 233268 270340 291585 388780 405510 583170 811020 1166340 5362387 10724774 16087161 21449548 26811935 32174322 37536709 53623870 64348644 75073418 80435805 107247740 112610127 150146836 160871610 187683545 225220254 321743220 375367090 450440508 563050635 750734180 1126101270 2252202540