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212713488 = 243213199571
BaseRepresentation
bin11001010110111…
…00000000010000
3112211020222001100
430223130000100
5413423312423
633035104400
75162014641
oct1453340020
9484228040
10212713488
11aa086879
125b2a2100
13350b8c90
14203716c8
1513a1b343
hexcadc010

212713488 has 120 divisors (see below), whose sum is σ = 645444800. Its totient is φ = 65007360.

The previous prime is 212713451. The next prime is 212713489. The reversal of 212713488 is 884317212.

212713488 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 2×2127134882 = 90494055954252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212713489) 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, 372243 + ... + 372813.

Almost surely, 2212713488 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 212713488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322722400).

212713488 is an abundant number, since it is smaller than the sum of its proper divisors (432731312).

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

212713488 is a wasteful number, since it uses less digits than its factorization.

212713488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 212713488 is about 14584.7004768696. The cubic root of 212713488 is about 596.9413677762.

The spelling of 212713488 in words is "two hundred twelve million, seven hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 199 208 234 312 398 468 571 597 624 796 936 1142 1194 1592 1713 1791 1872 2284 2388 2587 3184 3426 3582 4568 4776 5139 5174 6852 7164 7423 7761 9136 9552 10278 10348 13704 14328 14846 15522 20556 20696 22269 23283 27408 28656 29692 31044 41112 41392 44538 46566 59384 62088 66807 82224 89076 93132 113629 118768 124176 133614 178152 186264 227258 267228 340887 356304 372528 454516 534456 681774 909032 1022661 1068912 1363548 1477177 1818064 2045322 2727096 2954354 4090644 4431531 5454192 5908708 8181288 8863062 11817416 13294593 16362576 17726124 23634832 26589186 35452248 53178372 70904496 106356744 212713488