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2050230260 = 22513217311151
BaseRepresentation
bin111101000110100…
…0000011111110100
312021212212111012002
41322031000133310
513144324332020
6535235314432
7101543445461
oct17215003764
95255774162
102050230260
11962335381
1249274ba18
132689b3500
14156412668
15beed5975
hex7a3407f4

2050230260 has 144 divisors (see below), whose sum is σ = 5100060672. Its totient is φ = 688896000.

The previous prime is 2050230257. The next prime is 2050230263. The reversal of 2050230260 is 620320502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2050230257) and next prime (2050230263).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050230263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780685 + ... + 1781835.

It is an arithmetic number, because the mean of its divisors is an integer number (35417088).

Almost surely, 22050230260 is an apocalyptic number.

2050230260 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 2050230260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550030336).

2050230260 is an abundant number, since it is smaller than the sum of its proper divisors (3049830412).

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

2050230260 is a wasteful number, since it uses less digits than its factorization.

2050230260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2050230260 is about 45279.4684156075. The cubic root of 2050230260 is about 1270.3816531265.

Adding to 2050230260 its reverse (620320502), we get a palindrome (2670550762).

The spelling of 2050230260 in words is "two billion, fifty million, two hundred thirty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 31 34 52 62 65 68 85 124 130 155 169 170 221 260 310 338 340 403 442 527 620 676 806 845 884 1054 1105 1151 1612 1690 2015 2108 2210 2302 2635 2873 3380 4030 4420 4604 5239 5270 5746 5755 6851 8060 10478 10540 11492 11510 13702 14365 14963 19567 20956 23020 26195 27404 28730 29926 34255 35681 39134 52390 57460 59852 68510 71362 74815 78268 89063 97835 104780 137020 142724 149630 178126 178405 194519 195670 254371 299260 356252 356810 389038 391340 445315 463853 508742 606577 713620 778076 890630 927706 972595 1017484 1213154 1271855 1781260 1855412 1945190 2319265 2426308 2543710 3032885 3306823 3890380 4638530 5087420 6030089 6065770 6613646 7885501 9277060 12060178 12131540 13227292 15771002 16534115 24120356 30150445 31542004 33068230 39427505 60300890 66136460 78855010 102511513 120601780 157710020 205023026 410046052 512557565 1025115130 2050230260