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234212000 = 2553115323
BaseRepresentation
bin11011111010111…
…00101010100000
3121022201012110112
431331130222200
5434424241000
635123550452
75542524551
oct1575345240
9538635415
10234212000
1111022aa40
126652b428
13396a54a9
142316a328
1515866235
hexdf5caa0

234212000 has 96 divisors (see below), whose sum is σ = 627891264. Its totient is φ = 85152000.

The previous prime is 234211981. The next prime is 234212039. The reversal of 234212000 is 212432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41339 + ... + 46661.

It is an arithmetic number, because the mean of its divisors is an integer number (6540534).

Almost surely, 2234212000 is an apocalyptic number.

234212000 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 234212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313945632).

234212000 is an abundant number, since it is smaller than the sum of its proper divisors (393679264).

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

234212000 is a wasteful number, since it uses less digits than its factorization.

234212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 234212000 is about 15303.9864087760. The cubic root of 234212000 is about 616.4100547444.

Adding to 234212000 its reverse (212432), we get a palindrome (234424432).

The spelling of 234212000 in words is "two hundred thirty-four million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5323 5500 8800 10646 11000 21292 22000 26615 42584 44000 53230 58553 85168 106460 117106 133075 170336 212920 234212 266150 292765 425840 468424 532300 585530 665375 851680 936848 1064600 1171060 1330750 1463825 1873696 2129200 2342120 2661500 2927650 4258400 4684240 5323000 5855300 7319125 9368480 10646000 11710600 14638250 21292000 23421200 29276500 46842400 58553000 117106000 234212000