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23204211200 = 295217106637
BaseRepresentation
bin10101100111000101…
…000010101000000000
32012220010211001200122
4111213011002220000
5340010234224300
614354310435412
71451010353342
oct254705025000
965803731618
1023204211200
119928199355
1245b7062b68
13225a48c1b1
1411a1a89292
1590c1ebc85
hex567142a00

23204211200 has 120 divisors (see below), whose sum is σ = 60872596092. Its totient is φ = 8735621120.

The previous prime is 23204211197. The next prime is 23204211203. The reversal of 23204211200 is 211240232.

It is an interprime number because it is at equal distance from previous prime (23204211197) and next prime (23204211203).

It can be written as a sum of positive squares in 6 ways, for example, as 18902950144 + 4301261056 = 137488^2 + 65584^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23204211203) 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, 164282 + ... + 270918.

Almost surely, 223204211200 is an apocalyptic number.

23204211200 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 23204211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30436298046).

23204211200 is an abundant number, since it is smaller than the sum of its proper divisors (37668384892).

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

23204211200 is a wasteful number, since it uses less digits than its factorization.

23204211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106682 (or 106661 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 23204211200 its reverse (211240232), we get a palindrome (23415451432).

The spelling of 23204211200 in words is "twenty-three billion, two hundred four million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 256 272 320 340 400 425 512 544 640 680 800 850 1088 1280 1360 1600 1700 2176 2560 2720 3200 3400 4352 5440 6400 6800 8704 10880 12800 13600 21760 27200 43520 54400 106637 108800 213274 217600 426548 533185 853096 1066370 1706192 1812829 2132740 2665925 3412384 3625658 4265480 5331850 6824768 7251316 8530960 9064145 10663700 13649536 14502632 17061920 18128290 21327400 27299072 29005264 34123840 36256580 42654800 45320725 54598144 58010528 68247680 72513160 85309600 90641450 116021056 136495360 145026320 170619200 181282900 232042112 272990720 290052640 341238400 362565800 464084224 580105280 682476800 725131600 928168448 1160210560 1364953600 1450263200 2320421120 2900526400 4640842240 5801052800 11602105600 23204211200