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2152090224 = 2432731012027
BaseRepresentation
bin1000000001000110…
…0100101001110000
312112222112111210100
42000101210221300
513401413341344
6553314432400
7104221315344
oct20021445160
95488474710
102152090224
11a04887269
12500892700
13283b2878b
14165b69624
15c8e06569
hex80464a70

2152090224 has 120 divisors (see below), whose sum is σ = 6168859632. Its totient is φ = 700185600.

The previous prime is 2152090211. The next prime is 2152090229. The reversal of 2152090224 is 4220902512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152090229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060699 + ... + 1062725.

Almost surely, 22152090224 is an apocalyptic number.

2152090224 is a gapful number since it is divisible by the number (24) 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 2152090224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084429816).

2152090224 is an abundant number, since it is smaller than the sum of its proper divisors (4016769408).

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

2152090224 is a wasteful number, since it uses less digits than its factorization.

2152090224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2152090224 is about 46390.6264669922. The cubic root of 2152090224 is about 1291.0810048205.

Adding to 2152090224 its reverse (4220902512), we get a palindrome (6372992736).

The spelling of 2152090224 in words is "two billion, one hundred fifty-two million, ninety thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 101 144 146 202 219 292 303 404 438 584 606 657 808 876 909 1168 1212 1314 1616 1752 1818 2027 2424 2628 3504 3636 4054 4848 5256 6081 7272 7373 8108 10512 12162 14544 14746 16216 18243 22119 24324 29492 32432 36486 44238 48648 58984 66357 72972 88476 97296 117968 132714 145944 147971 176952 204727 265428 291888 295942 353904 409454 443913 530856 591884 614181 818908 887826 1061712 1183768 1228362 1331739 1637816 1775652 1842543 2367536 2456724 2663478 3275632 3551304 3685086 4913448 5326956 7102608 7370172 9826896 10653912 14740344 14945071 21307824 29480688 29890142 44835213 59780284 89670426 119560568 134505639 179340852 239121136 269011278 358681704 538022556 717363408 1076045112 2152090224