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1244424100 = 225253713307
BaseRepresentation
bin100101000101100…
…0110011110100100
310012201121021221111
41022023012132210
510022033032400
6323252154404
742560300413
oct11213063644
93181537844
101244424100
11589499277
122a8908a04
1316aa7992a
14bb3b547a
15743b33ba
hex4a2c67a4

1244424100 has 72 divisors (see below), whose sum is σ = 2790946368. Its totient is φ = 481353600.

The previous prime is 1244424073. The next prime is 1244424101. The reversal of 1244424100 is 14244421.

It is not an unprimeable number, because it can be changed into a prime (1244424101) 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, 374647 + ... + 377953.

It is an arithmetic number, because the mean of its divisors is an integer number (38763144).

Almost surely, 21244424100 is an apocalyptic number.

1244424100 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 1244424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395473184).

1244424100 is an abundant number, since it is smaller than the sum of its proper divisors (1546522268).

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

1244424100 is a wasteful number, since it uses less digits than its factorization.

1244424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1244424100 is about 35276.3957909535. The cubic root of 1244424100 is about 1075.6132358339.

Adding to 1244424100 its reverse (14244421), we get a palindrome (1258668521).

The spelling of 1244424100 in words is "one billion, two hundred forty-four million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 71 100 106 142 212 265 284 355 530 710 1060 1325 1420 1775 2650 3307 3550 3763 5300 6614 7100 7526 13228 15052 16535 18815 33070 37630 66140 75260 82675 94075 165350 175271 188150 234797 330700 350542 376300 469594 701084 876355 939188 1173985 1752710 2347970 3505420 4381775 4695940 5869925 8763550 11739850 12444241 17527100 23479700 24888482 49776964 62221205 124442410 248884820 311106025 622212050 1244424100