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2252174040 = 2332554711437
BaseRepresentation
bin1000011000111101…
…0111001011011000
312210221212021222100
42012033113023120
514103024032130
61011251523400
7106545110034
oct20617271330
95727767870
102252174040
11a56325766
1252a2b9560
1329b79b47c
1417517d1c4
15d2ac5c60
hex863d72d8

2252174040 has 96 divisors (see below), whose sum is σ = 7333588080. Its totient is φ = 599429376.

The previous prime is 2252173927. The next prime is 2252174051. The reversal of 2252174040 is 404712522.

2252174040 is a `hidden beast` number, since 2 + 252 + 1 + 7 + 404 + 0 = 666.

2252174040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2252173995 and 2252174013.

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, 191202 + ... + 202638.

Almost surely, 22252174040 is an apocalyptic number.

2252174040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252174040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666794040).

2252174040 is an abundant number, since it is smaller than the sum of its proper divisors (5081414040).

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

2252174040 is a wasteful number, since it uses less digits than its factorization.

2252174040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001 (or 11994 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2252174040 is about 47457.0757632621. The cubic root of 2252174040 is about 1310.7926054395.

Adding to 2252174040 its reverse (404712522), we get a palindrome (2656886562).

The spelling of 2252174040 in words is "two billion, two hundred fifty-two million, one hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 547 1094 1641 2188 2735 3282 4376 4923 5470 6564 8205 9846 10940 11437 13128 16410 19692 21880 22874 24615 32820 34311 39384 45748 49230 57185 65640 68622 91496 98460 102933 114370 137244 171555 196920 205866 228740 274488 343110 411732 457480 514665 686220 823464 1029330 1372440 2058660 4117320 6256039 12512078 18768117 25024156 31280195 37536234 50048312 56304351 62560390 75072468 93840585 112608702 125120780 150144936 187681170 225217404 250241560 281521755 375362340 450434808 563043510 750724680 1126087020 2252174040