Search a number
-
+
2252035100 = 22527365657
BaseRepresentation
bin1000011000111011…
…0101010000011100
312210221121020101102
42012032311100130
514103010110400
61011244532232
7106543661000
oct20616652034
95727536342
102252035100
11a56240337
1252a251078
1329b750163
14175144700
15d2a999d5
hex863b541c

2252035100 has 72 divisors (see below), whose sum is σ = 5699114400. Its totient is φ = 772114560.

The previous prime is 2252035091. The next prime is 2252035103. The reversal of 2252035100 is 15302522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252035103) 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, 1472 + ... + 67128.

Almost surely, 22252035100 is an apocalyptic number.

2252035100 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 2252035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849557200).

2252035100 is an abundant number, since it is smaller than the sum of its proper divisors (3447079300).

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

2252035100 is a wasteful number, since it uses less digits than its factorization.

2252035100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65692 (or 65671 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2252035100 is about 47455.6118915350. The cubic root of 2252035100 is about 1310.7656499635.

Adding to 2252035100 its reverse (15302522), we get a palindrome (2267337622).

The spelling of 2252035100 in words is "two billion, two hundred fifty-two million, thirty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6860 8575 17150 34300 65657 131314 262628 328285 459599 656570 919198 1313140 1641425 1838396 2297995 3217193 3282850 4595990 6434386 6565700 9191980 11489975 12868772 16085965 22520351 22979950 32171930 45040702 45959900 64343860 80429825 90081404 112601755 160859650 225203510 321719300 450407020 563008775 1126017550 2252035100