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2245341904 = 241331247239
BaseRepresentation
bin1000010111010101…
…0011001011010000
312210111000012001021
42011311103023100
514044301420104
61010445245224
7106433043211
oct20565231320
95714005037
102245341904
11a52489673
12527b63814
1329a2487a0
141742c1408
15d21c6754
hex85d532d0

2245341904 has 120 divisors (see below), whose sum is σ = 4964682240. Its totient is φ = 977437440.

The previous prime is 2245341859. The next prime is 2245341913. The reversal of 2245341904 is 4091435422.

It is a self number, because there is not a number n which added to its sum of digits gives 2245341904.

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, 9394617 + ... + 9394855.

It is an arithmetic number, because the mean of its divisors is an integer number (41372352).

Almost surely, 22245341904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245341904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482341120).

2245341904 is an abundant number, since it is smaller than the sum of its proper divisors (2719340336).

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

2245341904 is a wasteful number, since it uses less digits than its factorization.

2245341904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 2245341904 is about 47385.0388202859. The cubic root of 2245341904 is about 1309.4658008767.

The spelling of 2245341904 in words is "two billion, two hundred forty-five million, three hundred forty-one thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 31 47 52 62 94 104 124 188 208 239 248 376 403 478 496 611 752 806 956 961 1222 1457 1612 1912 1922 2444 2914 3107 3224 3824 3844 4888 5828 6214 6448 7409 7688 9776 11233 11656 12428 12493 14818 15376 18941 22466 23312 24856 24986 29636 37882 44932 45167 49712 49972 59272 75764 89864 90334 96317 99944 118544 146029 151528 179728 180668 192634 199888 229679 292058 303056 348223 361336 385268 459358 584116 587171 696446 722672 770536 918716 1168232 1174342 1392892 1541072 1837432 2336464 2348684 2785784 2985827 3674864 4526899 4697368 5571568 5971654 9053798 9394736 10794913 11943308 18107596 21589826 23886616 36215192 43179652 47773232 72430384 86359304 140333869 172718608 280667738 561335476 1122670952 2245341904