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2301125200 = 245211836301
BaseRepresentation
bin1000100100101000…
…0110001001010000
312221100222021100021
42021022012021100
514203042001300
61020201033224
7111011145553
oct21112061120
95840867307
102301125200
11a80a1a470
12542785814
132a897a35a
1417b88269a
15d7044d1a
hex89286250

2301125200 has 120 divisors (see below), whose sum is σ = 6104671776. Its totient is φ = 826560000.

The previous prime is 2301125179. The next prime is 2301125209. The reversal of 2301125200 is 25211032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301125209) 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, 362050 + ... + 368350.

Almost surely, 22301125200 is an apocalyptic number.

2301125200 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 2301125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052335888).

2301125200 is an abundant number, since it is smaller than the sum of its proper divisors (3803546576).

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

2301125200 is a wasteful number, since it uses less digits than its factorization.

2301125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6413 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2301125200 is about 47970.0448196580. The cubic root of 2301125200 is about 1320.2213433535.

Adding to 2301125200 its reverse (25211032), we get a palindrome (2326336232).

The spelling of 2301125200 in words is "two billion, three hundred one million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 83 88 100 110 166 176 200 220 275 332 400 415 440 550 664 830 880 913 1100 1328 1660 1826 2075 2200 3320 3652 4150 4400 4565 6301 6640 7304 8300 9130 12602 14608 16600 18260 22825 25204 31505 33200 36520 45650 50408 63010 69311 73040 91300 100816 126020 138622 157525 182600 252040 277244 315050 346555 365200 504080 522983 554488 630100 693110 1045966 1108976 1260200 1386220 1732775 2091932 2520400 2614915 2772440 3465550 4183864 5229830 5544880 5752813 6931100 8367728 10459660 11505626 13074575 13862200 20919320 23011252 26149150 27724400 28764065 41838640 46022504 52298300 57528130 92045008 104596600 115056260 143820325 209193200 230112520 287640650 460225040 575281300 1150562600 2301125200