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2151601140 = 22351310925307
BaseRepresentation
bin1000000000111110…
…1101001111110100
312112221121122220010
42000033231033310
513401302214030
6553300140220
7104214210423
oct20017551764
95487548803
102151601140
11a04582867
12500697670
132839b6c90
14165a7d2ba
15c8d5b6b0
hex803ed3f4

2151601140 has 96 divisors (see below), whose sum is σ = 6547685760. Its totient is φ = 524745216.

The previous prime is 2151601139. The next prime is 2151601163. The reversal of 2151601140 is 411061512.

2151601140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 72367 + ... + 97673.

It is an arithmetic number, because the mean of its divisors is an integer number (68205060).

Almost surely, 22151601140 is an apocalyptic number.

2151601140 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 2151601140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273842880).

2151601140 is an abundant number, since it is smaller than the sum of its proper divisors (4396084620).

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

2151601140 is a wasteful number, since it uses less digits than its factorization.

2151601140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25441 (or 25439 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 2151601140 is about 46385.3548008420. The cubic root of 2151601140 is about 1290.9831937257.

Adding to 2151601140 its reverse (411061512), we get a palindrome (2562662652).

The spelling of 2151601140 in words is "two billion, one hundred fifty-one million, six hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 654 780 1090 1308 1417 1635 2180 2834 3270 4251 5668 6540 7085 8502 14170 17004 21255 25307 28340 42510 50614 75921 85020 101228 126535 151842 253070 303684 328991 379605 506140 657982 759210 986973 1315964 1518420 1644955 1973946 2758463 3289910 3947892 4934865 5516926 6579820 8275389 9869730 11033852 13792315 16550778 19739460 27584630 33101556 35860019 41376945 55169260 71720038 82753890 107580057 143440076 165507780 179300095 215160114 358600190 430320228 537900285 717200380 1075800570 2151601140