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2225174140 = 2257411073623
BaseRepresentation
bin1000010010100001…
…0111011001111100
312202002001120002001
42010220113121330
514024121033030
61004445112044
7106066445110
oct20450273174
95662046061
102225174140
11a420642a2
12521258624
13296006bb7
14171751740
15d0540cca
hex84a1767c

2225174140 has 96 divisors (see below), whose sum is σ = 5523323904. Its totient is φ = 737149440.

The previous prime is 2225174137. The next prime is 2225174153. The reversal of 2225174140 is 414715222.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2225174099 and 2225174108.

It is a congruent number.

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, 612369 + ... + 615991.

It is an arithmetic number, because the mean of its divisors is an integer number (57534624).

Almost surely, 22225174140 is an apocalyptic number.

2225174140 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 2225174140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761661952).

2225174140 is an abundant number, since it is smaller than the sum of its proper divisors (3298149764).

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

2225174140 is a wasteful number, since it uses less digits than its factorization.

2225174140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2225174140 is about 47171.7515044756. The cubic root of 2225174140 is about 1305.5334430968.

Adding to 2225174140 its reverse (414715222), we get a palindrome (2639889362).

The spelling of 2225174140 in words is "two billion, two hundred twenty-five million, one hundred seventy-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 107 140 164 205 214 287 410 428 535 574 749 820 1070 1148 1435 1498 2140 2870 2996 3623 3745 4387 5740 7246 7490 8774 14492 14980 17548 18115 21935 25361 30709 36230 43870 50722 61418 72460 87740 101444 122836 126805 148543 153545 253610 297086 307090 387661 507220 594172 614180 742715 775322 1039801 1485430 1550644 1938305 2079602 2713627 2970860 3876610 4159204 5199005 5427254 7753220 10398010 10854508 13568135 15894101 20796020 27136270 31788202 54272540 63576404 79470505 111258707 158941010 222517414 317882020 445034828 556293535 1112587070 2225174140