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2244507120 = 243254372497
BaseRepresentation
bin1000010111001000…
…0111010111110000
312210102102202221100
42011302013113300
514044043211440
61010415324400
7106422665352
oct20562072760
95712382840
102244507120
11a51a69469
12527820700
1329a01582b
141741450d2
15d20ae230
hex85c875f0

2244507120 has 120 divisors (see below), whose sum is σ = 7713207216. Its totient is φ = 584607744.

The previous prime is 2244507091. The next prime is 2244507121. The reversal of 2244507120 is 217054422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244507121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5289 + ... + 67208.

Almost surely, 22244507120 is an apocalyptic number.

2244507120 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 2244507120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856603608).

2244507120 is an abundant number, since it is smaller than the sum of its proper divisors (5468700096).

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

2244507120 is a wasteful number, since it uses less digits than its factorization.

2244507120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72559 (or 72550 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2244507120 is about 47376.2294827269. The cubic root of 2244507120 is about 1309.3035009327.

The spelling of 2244507120 in words is "two billion, two hundred forty-four million, five hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 43 45 48 60 72 80 86 90 120 129 144 172 180 215 240 258 344 360 387 430 516 645 688 720 774 860 1032 1290 1548 1720 1935 2064 2580 3096 3440 3870 5160 6192 7740 10320 15480 30960 72497 144994 217491 289988 362485 434982 579976 652473 724970 869964 1087455 1159952 1304946 1449940 1739928 2174910 2609892 2899880 3117371 3262365 3479856 4349820 5219784 5799760 6234742 6524730 8699640 9352113 10439568 12469484 13049460 15586855 17399280 18704226 24938968 26098920 28056339 31173710 37408452 46760565 49877936 52197840 56112678 62347420 74816904 93521130 112225356 124694840 140281695 149633808 187042260 224450712 249389680 280563390 374084520 448901424 561126780 748169040 1122253560 2244507120