Search a number
-
+
2252040150400 = 27524027174761
BaseRepresentation
bin100000110001011000000…
…011011001110110000000
321222021220112212002022021
4200301120003121312000
5243344134234303100
64442323432051224
7321463440302125
oct40613003316600
97867815762267
102252040150400
117990a2a55247
12304563833b14
1313449c1b7741
147addc20c74c
153d8a9e8aa1a
hex20c580d9d80

2252040150400 has 96 divisors (see below), whose sum is σ = 5564656261080. Its totient is φ = 900587212800.

The previous prime is 2252040150341. The next prime is 2252040150433. The reversal of 2252040150400 is 40510402522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12799020 + ... + 12973780.

Almost surely, 22252040150400 is an apocalyptic number.

2252040150400 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 2252040150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782328130540).

2252040150400 is an abundant number, since it is smaller than the sum of its proper divisors (3312616110680).

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

2252040150400 is a wasteful number, since it uses less digits than its factorization.

2252040150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178812 (or 178795 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 2252040150400 its reverse (40510402522), we get a palindrome (2292550552922).

The spelling of 2252040150400 in words is "two trillion, two hundred fifty-two billion, forty million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 4027 8054 16108 20135 32216 40270 64432 80540 100675 128864 161080 174761 201350 257728 322160 349522 402700 515456 644320 699044 805400 873805 1288640 1398088 1610800 1747610 2577280 2796176 3221600 3495220 4369025 5592352 6443200 6990440 8738050 11184704 12886400 13980880 17476100 22369408 27961760 34952200 55923520 69904400 111847040 139808800 279617600 559235200 703762547 1407525094 2815050188 3518812735 5630100376 7037625470 11260200752 14075250940 17594063675 22520401504 28150501880 35188127350 45040803008 56301003760 70376254700 90081606016 112602007520 140752509400 225204015040 281505018800 450408030080 563010037600 1126020075200 2252040150400