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2285738010 = 2325113317709
BaseRepresentation
bin1000100000111101…
…1001100000011010
312220022000112002100
42020033121200122
514140122104020
61014451144230
7110433311133
oct21017314032
95808015070
102285738010
11a7326a886
125395a5076
132a57206ca
141797d8c8a
15d5a05a90
hex883d981a

2285738010 has 96 divisors (see below), whose sum is σ = 6022907280. Its totient is φ = 601380864.

The previous prime is 2285737933. The next prime is 2285738027. The reversal of 2285738010 is 108375822.

2285738010 is a `hidden beast` number, since 2 + 2 + 8 + 573 + 80 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18740241 + 2266997769 = 4329^2 + 47613^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3223536 + ... + 3224244.

Almost surely, 22285738010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285738010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011453640).

2285738010 is an abundant number, since it is smaller than the sum of its proper divisors (3737169270).

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

2285738010 is a wasteful number, since it uses less digits than its factorization.

2285738010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2285738010 is about 47809.3924872509. The cubic root of 2285738010 is about 1317.2720694721.

The spelling of 2285738010 in words is "two billion, two hundred eighty-five million, seven hundred thirty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 317 339 565 634 678 709 951 1017 1130 1418 1585 1695 1902 2034 2127 2853 3170 3390 3545 4254 4755 5085 5706 6381 7090 9510 10170 10635 12762 14265 21270 28530 31905 35821 63810 71642 80117 107463 160234 179105 214926 224753 240351 322389 358210 400585 449506 480702 537315 644778 674259 721053 801170 1074630 1123765 1201755 1348518 1442106 1611945 2022777 2247530 2403510 3223890 3371295 3605265 4045554 6742590 7210530 10113885 20227770 25397089 50794178 76191267 126985445 152382534 228573801 253970890 380956335 457147602 761912670 1142869005 2285738010