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2330021200 = 245213716311
BaseRepresentation
bin1000101011100001…
…0100110101010000
320000101100100012111
42022320110311100
514232441134300
61023112235104
7111511565503
oct21270246520
96011310174
102330021200
11a96266461
1255039ba94
132b1956990
1418164513a
15d98519ba
hex8ae14d50

2330021200 has 120 divisors (see below), whose sum is σ = 6114358656. Its totient is φ = 848064000.

The previous prime is 2330021147. The next prime is 2330021219. The reversal of 2330021200 is 21200332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 366045 + ... + 372355.

Almost surely, 22330021200 is an apocalyptic number.

2330021200 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 2330021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057179328).

2330021200 is an abundant number, since it is smaller than the sum of its proper divisors (3784337456).

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

2330021200 is a wasteful number, since it uses less digits than its factorization.

2330021200 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2330021200 is about 48270.2931418486. The cubic root of 2330021200 is about 1325.7245260218.

Adding to 2330021200 its reverse (21200332), we get a palindrome (2351221532).

The spelling of 2330021200 in words is "two billion, three hundred thirty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 71 80 100 104 130 142 200 208 260 284 325 355 400 520 568 650 710 923 1040 1136 1300 1420 1775 1846 2600 2840 3550 3692 4615 5200 5680 6311 7100 7384 9230 12622 14200 14768 18460 23075 25244 28400 31555 36920 46150 50488 63110 73840 82043 92300 100976 126220 157775 164086 184600 252440 315550 328172 369200 410215 448081 504880 631100 656344 820430 896162 1262200 1312688 1640860 1792324 2051075 2240405 2524400 3281720 3584648 4102150 4480810 5825053 6563440 7169296 8204300 8961620 11202025 11650106 16408600 17923240 22404050 23300212 29125265 32817200 35846480 44808100 46600424 58250530 89616200 93200848 116501060 145626325 179232400 233002120 291252650 466004240 582505300 1165010600 2330021200