Search a number
-
+
1156164220 = 2251731432551
BaseRepresentation
bin100010011101001…
…1010101001111100
32222120112020011001
41010322122221330
54331434223340
6310420340044
740436143111
oct10472325174
92876466131
101156164220
11543696322
12283244624
131556b6a53
14ad79c908
156b77c29a
hex44e9aa7c

1156164220 has 96 divisors (see below), whose sum is σ = 2716471296. Its totient is φ = 411264000.

The previous prime is 1156164181. The next prime is 1156164221. The reversal of 1156164220 is 224616511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156164221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451945 + ... + 454495.

It is an arithmetic number, because the mean of its divisors is an integer number (28296576).

Almost surely, 21156164220 is an apocalyptic number.

1156164220 is a gapful number since it is divisible by the number (10) 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 1156164220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358235648).

1156164220 is an abundant number, since it is smaller than the sum of its proper divisors (1560307076).

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

1156164220 is a wasteful number, since it uses less digits than its factorization.

1156164220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1156164220 is about 34002.4149142381. The cubic root of 1156164220 is about 1049.5581572570.

The spelling of 1156164220 in words is "one billion, one hundred fifty-six million, one hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 43 62 68 85 86 124 155 170 172 215 310 340 430 527 620 731 860 1054 1333 1462 2108 2551 2635 2666 2924 3655 5102 5270 5332 6665 7310 10204 10540 12755 13330 14620 22661 25510 26660 43367 45322 51020 79081 86734 90644 109693 113305 158162 173468 216835 219386 226610 316324 395405 433670 438772 453220 548465 790810 867340 1096930 1344377 1581620 1864781 2193860 2688754 3400483 3729562 5377508 6721885 6800966 7459124 9323905 13443770 13601932 17002415 18647810 26887540 34004830 37295620 57808211 68009660 115616422 231232844 289041055 578082110 1156164220