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1030233200 = 245219283479
BaseRepresentation
bin111101011010000…
…001110001110000
32122210120021021012
4331122001301300
54102214430300
6250121250052
734346560223
oct7532016160
92583507235
101030233200
114895a34a7
12249033928
13135594359
149ab7b5ba
15606a4435
hex3d681c70

1030233200 has 120 divisors (see below), whose sum is σ = 2620070400. Its totient is φ = 388212480.

The previous prime is 1030233179. The next prime is 1030233203. The reversal of 1030233200 is 23320301.

It is a super-2 number, since 2×10302332002 = 2122760892764480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030233203) 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, 2150561 + ... + 2151039.

It is an arithmetic number, because the mean of its divisors is an integer number (21833920).

Almost surely, 21030233200 is an apocalyptic number.

1030233200 is a gapful number since it is divisible by the number (10) 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 1030233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310035200).

1030233200 is an abundant number, since it is smaller than the sum of its proper divisors (1589837200).

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

1030233200 is a wasteful number, since it uses less digits than its factorization.

1030233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1030233200 is about 32097.2459877791. The cubic root of 1030233200 is about 1009.9778448233.

Adding to 1030233200 its reverse (23320301), we get a palindrome (1053553501).

The spelling of 1030233200 in words is "one billion, thirty million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 283 304 380 400 475 479 566 760 950 958 1132 1415 1520 1900 1916 2264 2395 2830 3800 3832 4528 4790 5377 5660 7075 7600 7664 9101 9580 10754 11320 11975 14150 18202 19160 21508 22640 23950 26885 28300 36404 38320 43016 45505 47900 53770 56600 72808 86032 91010 95800 107540 113200 134425 135557 145616 182020 191600 215080 227525 268850 271114 364040 430160 455050 537700 542228 677785 728080 910100 1075400 1084456 1355570 1820200 2150800 2168912 2575583 2711140 3388925 3640400 5151166 5422280 6777850 10302332 10844560 12877915 13555700 20604664 25755830 27111400 41209328 51511660 54222800 64389575 103023320 128779150 206046640 257558300 515116600 1030233200