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2251121740 = 225727132353
BaseRepresentation
bin1000011000101101…
…0110010001001100
312210212212211111021
42012023112101030
514102241343430
61011213203524
7106533135100
oct20613262114
95725784437
102251121740
11a5577709a
12529a905a4
1329b4c04ca
14174d87900
15d296907a
hex862d644c

2251121740 has 72 divisors (see below), whose sum is σ = 5576794272. Its totient is φ = 760919040.

The previous prime is 2251121731. The next prime is 2251121791. The reversal of 2251121740 is 471211522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53404 + ... + 85756.

It is an arithmetic number, because the mean of its divisors is an integer number (77455476).

Almost surely, 22251121740 is an apocalyptic number.

2251121740 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 2251121740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788397136).

2251121740 is an abundant number, since it is smaller than the sum of its proper divisors (3325672532).

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

2251121740 is a wasteful number, since it uses less digits than its factorization.

2251121740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32447 (or 32438 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 2251121740 is about 47445.9876069621. The cubic root of 2251121740 is about 1310.5884231816.

The spelling of 2251121740 in words is "two billion, two hundred fifty-one million, one hundred twenty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 71 98 140 142 196 245 284 355 490 497 710 980 994 1420 1988 2485 3479 4970 6958 9940 13916 17395 32353 34790 64706 69580 129412 161765 226471 323530 452942 647060 905884 1132355 1585297 2264710 2297063 3170594 4529420 4594126 6341188 7926485 9188252 11485315 15852970 16079441 22970630 31705940 32158882 45941260 64317764 80397205 112556087 160794410 225112174 321588820 450224348 562780435 1125560870 2251121740