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2330123200 = 265213111117
BaseRepresentation
bin1000101011100010…
…1101101111000000
320000101112112010021
42022320231233000
514233002420300
61023114343224
7111512502046
oct21270555700
96011475107
102330123200
11a96326059
1255042ab14
132b1991232
14181670396
15d9871d1a
hex8ae2dbc0

2330123200 has 84 divisors (see below), whose sum is σ = 5777846712. Its totient is φ = 924851200.

The previous prime is 2330123177. The next prime is 2330123203. The reversal of 2330123200 is 23210332.

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 (2330123203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204042 + ... + 215158.

Almost surely, 22330123200 is an apocalyptic number.

2330123200 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 2330123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888923356).

2330123200 is an abundant number, since it is smaller than the sum of its proper divisors (3447723512).

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

2330123200 is a wasteful number, since it uses less digits than its factorization.

2330123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11270 (or 11255 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2330123200 is about 48271.3496807371. The cubic root of 2330123200 is about 1325.7438709000.

Adding to 2330123200 its reverse (23210332), we get a palindrome (2353333532).

The spelling of 2330123200 in words is "two billion, three hundred thirty million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 131 160 200 262 320 400 524 655 800 1048 1310 1600 2096 2620 3275 4192 5240 6550 8384 10480 11117 13100 20960 22234 26200 41920 44468 52400 55585 88936 104800 111170 177872 209600 222340 277925 355744 444680 555850 711488 889360 1111700 1456327 1778720 2223400 2912654 3557440 4446800 5825308 7281635 8893600 11650616 14563270 17787200 23301232 29126540 36408175 46602464 58253080 72816350 93204928 116506160 145632700 233012320 291265400 466024640 582530800 1165061600 2330123200