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2252133400 = 2352111023697
BaseRepresentation
bin1000011000111100…
…1101010000011000
312210221210020020011
42012033031100120
514103021232100
61011251011304
7106544550406
oct20617152030
95727706204
102252133400
11a562a8180
1252a299b34
1329b785b1a
1417516c476
15d2ab8bba
hex863cd418

2252133400 has 48 divisors (see below), whose sum is σ = 5712234840. Its totient is φ = 818956800.

The previous prime is 2252133391. The next prime is 2252133409. The reversal of 2252133400 is 43312522.

It is an interprime number because it is at equal distance from previous prime (2252133391) and next prime (2252133409).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252133409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509649 + ... + 514048.

Almost surely, 22252133400 is an apocalyptic number.

2252133400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252133400 is an abundant number, since it is smaller than the sum of its proper divisors (3460101440).

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

2252133400 is a wasteful number, since it uses less digits than its factorization.

2252133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023724 (or 1023715 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2252133400 is about 47456.6475849274. The cubic root of 2252133400 is about 1310.7847210678.

Adding to 2252133400 its reverse (43312522), we get a palindrome (2295445922).

The spelling of 2252133400 in words is "two billion, two hundred fifty-two million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 1023697 2047394 4094788 5118485 8189576 10236970 11260667 20473940 22521334 25592425 40947880 45042668 51184850 56303335 90085336 102369700 112606670 204739400 225213340 281516675 450426680 563033350 1126066700 2252133400