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2225241240 = 2335192933331
BaseRepresentation
bin1000010010100010…
…0111110010011000
312202002011222010020
42010220213302120
514024130204430
61004450350440
7106100144535
oct20450476230
95662158106
102225241240
11a420aa752
1252128b420
1329602b5c1
1417176bd8c
15d0555b10
hex84a27c98

2225241240 has 128 divisors (see below), whose sum is σ = 7053177600. Its totient is φ = 560079360.

The previous prime is 2225241223. The next prime is 2225241241. The reversal of 2225241240 is 421425222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2225241240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225241241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 666375 + ... + 669705.

It is an arithmetic number, because the mean of its divisors is an integer number (55102950).

Almost surely, 22225241240 is an apocalyptic number.

2225241240 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 2225241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526588800).

2225241240 is an abundant number, since it is smaller than the sum of its proper divisors (4827936360).

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

2225241240 is a wasteful number, since it uses less digits than its factorization.

2225241240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3657 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2225241240 is about 47172.4627298597. The cubic root of 2225241240 is about 1305.5465657272.

Adding to 2225241240 its reverse (421425222), we get a palindrome (2646666462).

The spelling of 2225241240 in words is "two billion, two hundred twenty-five million, two hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 293 380 456 570 586 760 879 1140 1172 1465 1758 2280 2344 2930 3331 3516 4395 5567 5860 6662 7032 8790 9993 11134 11720 13324 16655 16701 17580 19986 22268 26648 27835 33310 33402 35160 39972 44536 49965 55670 63289 66620 66804 79944 83505 99930 111340 126578 133240 133608 167010 189867 199860 222680 253156 316445 334020 379734 399720 506312 632890 668040 759468 949335 975983 1265780 1518936 1898670 1951966 2531560 2927949 3797340 3903932 4879915 5855898 7594680 7807864 9759830 11711796 14639745 18543677 19519660 23423592 29279490 37087354 39039320 55631031 58558980 74174708 92718385 111262062 117117960 148349416 185436770 222524124 278155155 370873540 445048248 556310310 741747080 1112620620 2225241240