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2051141232 = 2437291811163
BaseRepresentation
bin111101001000001…
…1110111001110000
312021221120202210210
41322100132321300
513200043004412
6535311024120
7101554261410
oct17220367160
95257522723
102051141232
119628a7848
12492b0b040
13268c4204a
141565ac640
15c011583c
hex7a41ee70

2051141232 has 160 divisors (see below), whose sum is σ = 6304596480. Its totient is φ = 562222080.

The previous prime is 2051141189. The next prime is 2051141249. The reversal of 2051141232 is 2321411502.

2051141232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20511412322 = 8414360707220955648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2051141199 and 2051141208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1763083 + ... + 1764245.

It is an arithmetic number, because the mean of its divisors is an integer number (39403728).

Almost surely, 22051141232 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 2051141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152298240).

2051141232 is an abundant number, since it is smaller than the sum of its proper divisors (4253455248).

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

2051141232 is a wasteful number, since it uses less digits than its factorization.

2051141232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2051141232 is about 45289.5267363217. The cubic root of 2051141232 is about 1270.5697800858.

Adding to 2051141232 its reverse (2321411502), we get a palindrome (4372552734).

The spelling of 2051141232 in words is "two billion, fifty-one million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 181 203 232 336 348 362 406 464 543 609 696 724 812 1086 1163 1218 1267 1392 1448 1624 2172 2326 2436 2534 2896 3248 3489 3801 4344 4652 4872 5068 5249 6978 7602 8141 8688 9304 9744 10136 10498 13956 15204 15747 16282 18608 20272 20996 24423 27912 30408 31494 32564 33727 36743 41992 48846 55824 60816 62988 65128 67454 73486 83984 97692 101181 110229 125976 130256 134908 146972 195384 202362 210503 220458 236089 251952 269816 293944 390768 404724 421006 440916 472178 539632 587888 631509 708267 809448 842012 881832 944356 1263018 1416534 1473521 1618896 1684024 1763664 1888712 2526036 2833068 2947042 3368048 3777424 4420563 5052072 5666136 5894084 6104587 8841126 10104144 11332272 11788168 12209174 17682252 18313761 23576336 24418348 35364504 36627522 42732109 48836696 70729008 73255044 85464218 97673392 128196327 146510088 170928436 256392654 293020176 341856872 512785308 683713744 1025570616 2051141232