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2153021200 = 245211643761
BaseRepresentation
bin1000000001010100…
…0111111100010000
312120001021210211221
42000111013330100
513402133134300
6553350414424
7104232243511
oct20025077420
95501253757
102153021200
11a05362770
12501061414
13284093455
14165d2ca08
15c903c31a
hex80547f10

2153021200 has 120 divisors (see below), whose sum is σ = 5659075296. Its totient is φ = 780672000.

The previous prime is 2153021183. The next prime is 2153021201. The reversal of 2153021200 is 21203512.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2153021201) 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, 2828820 + ... + 2829580.

Almost surely, 22153021200 is an apocalyptic number.

2153021200 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 2153021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829537648).

2153021200 is an abundant number, since it is smaller than the sum of its proper divisors (3506054096).

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

2153021200 is a wasteful number, since it uses less digits than its factorization.

2153021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2153021200 is about 46400.6594780721. The cubic root of 2153021200 is about 1291.2671482169.

Adding to 2153021200 its reverse (21203512), we get a palindrome (2174224712).

The spelling of 2153021200 in words is "two billion, one hundred fifty-three million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 643 761 880 1100 1286 1522 2200 2572 3044 3215 3805 4400 5144 6088 6430 7073 7610 8371 10288 12176 12860 14146 15220 16075 16742 19025 25720 28292 30440 32150 33484 35365 38050 41855 51440 56584 60880 64300 66968 70730 76100 83710 113168 128600 133936 141460 152200 167420 176825 209275 257200 282920 304400 334840 353650 418550 489323 565840 669680 707300 837100 978646 1414600 1674200 1957292 2446615 2829200 3348400 3914584 4893230 5382553 7829168 9786460 10765106 12233075 19572920 21530212 24466150 26912765 39145840 43060424 48932300 53825530 86120848 97864600 107651060 134563825 195729200 215302120 269127650 430604240 538255300 1076510600 2153021200