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212255232 = 2937191039
BaseRepresentation
bin11001010011011…
…00001000000000
3112210101200102220
430221230020000
5413314131412
633021211040
75155065630
oct1451541000
9483350386
10212255232
11a98a3552
125b100a80
1334c88517
14202926c0
151397a68c
hexca6c200

212255232 has 160 divisors (see below), whose sum is σ = 680908800. Its totient is φ = 57397248.

The previous prime is 212255231. The next prime is 212255249. The reversal of 212255232 is 232552212.

212255232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122552322 = 90104567022747648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212255231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203769 + ... + 204807.

It is an arithmetic number, because the mean of its divisors is an integer number (4255680).

Almost surely, 2212255232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212255232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340454400).

212255232 is an abundant number, since it is smaller than the sum of its proper divisors (468653568).

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

212255232 is a wasteful number, since it uses less digits than its factorization.

212255232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1070 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 212255232 is about 14568.9818450021. The cubic root of 212255232 is about 596.5123891184.

The spelling of 212255232 in words is "two hundred twelve million, two hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1039 1064 1216 1344 1536 1596 1792 1824 2078 2128 2432 2688 3117 3192 3584 3648 4156 4256 4864 5376 6234 6384 7273 7296 8312 8512 9728 10752 12468 12768 14546 14592 16624 17024 19741 21819 24936 25536 29092 29184 33248 34048 39482 43638 49872 51072 58184 59223 66496 68096 78964 87276 99744 102144 116368 118446 132992 138187 157928 174552 199488 204288 232736 236892 265984 276374 315856 349104 398976 414561 465472 473784 531968 552748 631712 698208 797952 829122 930944 947568 1105496 1263424 1396416 1595904 1658244 1861888 1895136 2210992 2526848 2792832 3316488 3723776 3790272 4421984 5053696 5585664 6632976 7580544 8843968 10107392 11171328 13265952 15161088 17687936 26531904 30322176 35375872 53063808 70751744 106127616 212255232