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1225907144 = 237112227797
BaseRepresentation
bin100100100010001…
…1101101111001000
310011102202112110022
41021010131233020
510002313012034
6321351240012
742244016210
oct11104355710
93142675408
101225907144
11579aa1200
122a2679008
13166c95557
14b8b55240
1572956b2e
hex4911dbc8

1225907144 has 96 divisors (see below), whose sum is σ = 2903826240. Its totient is φ = 474925440.

The previous prime is 1225907131. The next prime is 1225907161. The reversal of 1225907144 is 4417095221.

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, 1537754 + ... + 1538550.

It is an arithmetic number, because the mean of its divisors is an integer number (30248190).

Almost surely, 21225907144 is an apocalyptic number.

1225907144 is a gapful number since it is divisible by the number (14) 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 1225907144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451913120).

1225907144 is an abundant number, since it is smaller than the sum of its proper divisors (1677919096).

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

1225907144 is a wasteful number, since it uses less digits than its factorization.

1225907144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1225907144 is about 35012.9568017327. The cubic root of 1225907144 is about 1070.2515331443.

The spelling of 1225907144 in words is "one billion, two hundred twenty-five million, nine hundred seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 227 242 308 454 484 616 797 847 908 968 1589 1594 1694 1816 2497 3178 3188 3388 4994 5579 6356 6376 6776 8767 9988 11158 12712 17479 17534 19976 22316 27467 34958 35068 44632 54934 61369 69916 70136 96437 109868 122738 139832 180919 192269 192874 219736 245476 361838 384538 385748 490952 675059 723676 769076 771496 1266433 1350118 1447352 1538152 1990109 2532866 2700236 3980218 5065732 5400472 7960436 10131464 13930763 15920872 21891199 27861526 43782398 55723052 87564796 111446104 153238393 175129592 306476786 612953572 1225907144