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234425200 = 24522383307
BaseRepresentation
bin11011111100100…
…00101101110000
3121100010000220211
431332100231300
5440003101300
635132313504
75544403252
oct1576205560
9540100824
10234425200
11110366139
1266612894
133974b549
14231c3cd2
15158a94ba
hexdf90b70

234425200 has 120 divisors (see below), whose sum is σ = 596711808. Its totient is φ = 88323840.

The previous prime is 234425197. The next prime is 234425203. The reversal of 234425200 is 2524432.

It is an interprime number because it is at equal distance from previous prime (234425197) and next prime (234425203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234425203) 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, 763447 + ... + 763753.

Almost surely, 2234425200 is an apocalyptic number.

234425200 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 234425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298355904).

234425200 is an abundant number, since it is smaller than the sum of its proper divisors (362286608).

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

234425200 is a wasteful number, since it uses less digits than its factorization.

234425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 234425200 is about 15310.9503297477. The cubic root of 234425200 is about 616.5970345855.

Adding to 234425200 its reverse (2524432), we get a palindrome (236949632).

The spelling of 234425200 in words is "two hundred thirty-four million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 83 92 100 115 166 184 200 230 307 332 368 400 415 460 575 614 664 830 920 1150 1228 1328 1535 1660 1840 1909 2075 2300 2456 3070 3320 3818 4150 4600 4912 6140 6640 7061 7636 7675 8300 9200 9545 12280 14122 15272 15350 16600 19090 24560 25481 28244 30544 30700 33200 35305 38180 47725 50962 56488 61400 70610 76360 95450 101924 112976 122800 127405 141220 152720 176525 190900 203848 254810 282440 353050 381800 407696 509620 564880 586063 637025 706100 763600 1019240 1172126 1274050 1412200 2038480 2344252 2548100 2824400 2930315 4688504 5096200 5860630 9377008 10192400 11721260 14651575 23442520 29303150 46885040 58606300 117212600 234425200