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2155250400 = 253522234027
BaseRepresentation
bin1000000001110110…
…1000001011100000
312120012111001201220
42000131220023200
513403221003100
6553510255040
7104260216602
oct20035501340
95505431656
102155250400
11a06645586
12501957480
13284693cc4
1416634d172
15c932caa0
hex807682e0

2155250400 has 144 divisors (see below), whose sum is σ = 7048548864. Its totient is φ = 572014080.

The previous prime is 2155250399. The next prime is 2155250401. The reversal of 2155250400 is 40525512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2155250399) and next prime (2155250401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155250401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533187 + ... + 537213.

It is an arithmetic number, because the mean of its divisors is an integer number (48948256).

Almost surely, 22155250400 is an apocalyptic number.

2155250400 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 2155250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524274432).

2155250400 is an abundant number, since it is smaller than the sum of its proper divisors (4893298464).

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

2155250400 is a wasteful number, since it uses less digits than its factorization.

2155250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2155250400 is about 46424.6744738183. The cubic root of 2155250400 is about 1291.7126462069.

Adding to 2155250400 its reverse (40525512), we get a palindrome (2195775912).

The spelling of 2155250400 in words is "two billion, one hundred fifty-five million, two hundred fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 223 240 300 400 446 480 600 669 800 892 1115 1200 1338 1784 2230 2400 2676 3345 3568 4027 4460 5352 5575 6690 7136 8054 8920 10704 11150 12081 13380 16108 16725 17840 20135 21408 22300 24162 26760 32216 33450 35680 40270 44600 48324 53520 60405 64432 66900 80540 89200 96648 100675 107040 120810 128864 133800 161080 178400 193296 201350 241620 267600 302025 322160 386592 402700 483240 535200 604050 644320 805400 898021 966480 1208100 1610800 1796042 1932960 2416200 2694063 3221600 3592084 4490105 4832400 5388126 7184168 8980210 9664800 10776252 13470315 14368336 17960420 21552504 22450525 26940630 28736672 35920840 43105008 44901050 53881260 67351575 71841680 86210016 89802100 107762520 134703150 143683360 179604200 215525040 269406300 359208400 431050080 538812600 718416800 1077625200 2155250400