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212070312 = 2334833943
BaseRepresentation
bin11001010001111…
…10111110101000
3112210001021210000
430220332332220
5413242222222
633013223000
75153365536
oct1450767650
9483037700
10212070312
11a9787623
125b031a60
1334c222bc
1420245156
15139409ac
hexca3efa8

212070312 has 80 divisors (see below), whose sum is σ = 601302240. Its totient is φ = 69820704.

The previous prime is 212070307. The next prime is 212070337. The reversal of 212070312 is 213070212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51813 + ... + 55755.

It is an arithmetic number, because the mean of its divisors is an integer number (7516278).

Almost surely, 2212070312 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 212070312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300651120).

212070312 is an abundant number, since it is smaller than the sum of its proper divisors (389231928).

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

212070312 is a wasteful number, since it uses less digits than its factorization.

212070312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 212070312 is about 14562.6341023868. The cubic root of 212070312 is about 596.3391085524.

The spelling of 212070312 in words is "two hundred twelve million, seventy thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1494 1992 2241 2988 3943 4482 5976 6723 7886 8964 11829 13446 15772 17928 23658 26892 31544 35487 47316 53784 70974 94632 106461 141948 212922 283896 319383 327269 425844 638766 654538 851688 981807 1277532 1309076 1963614 2555064 2618152 2945421 3927228 5890842 7854456 8836263 11781684 17672526 23563368 26508789 35345052 53017578 70690104 106035156 212070312