Search a number
-
+
212087988 = 2232717311597
BaseRepresentation
bin11001010010000…
…11010010110100
3112210002012000200
430221003102310
5413243303423
633013440500
75153501220
oct1451032264
9483065020
10212087988
11a9799932
125b040130
1334c2a368
142024b780
1513945d43
hexca434b4

212087988 has 144 divisors (see below), whose sum is σ = 670086144. Its totient is φ = 55157760.

The previous prime is 212087987. The next prime is 212087989. The reversal of 212087988 is 889780212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212087987) and next prime (212087989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212087983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132006 + ... + 133602.

It is an arithmetic number, because the mean of its divisors is an integer number (4653376).

Almost surely, 2212087988 is an apocalyptic number.

212087988 is a gapful number since it is divisible by the number (28) 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 212087988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335043072).

212087988 is an abundant number, since it is smaller than the sum of its proper divisors (457998156).

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

212087988 is a wasteful number, since it uses less digits than its factorization.

212087988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 212087988 is about 14563.2409854400. The cubic root of 212087988 is about 596.3556763236.

The spelling of 212087988 in words is "two hundred twelve million, eighty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1597 1953 2108 2142 2604 3162 3194 3689 3906 4284 4743 4791 6324 6388 7378 7812 9486 9582 11067 11179 14373 14756 18972 19164 22134 22358 27149 28746 33201 33537 44268 44716 49507 54298 57492 66402 67074 81447 99014 100611 108596 132804 134148 148521 162894 190043 198028 201222 244341 297042 325788 346549 380086 402444 445563 488682 570129 594084 693098 760172 841619 891126 977364 1039647 1140258 1386196 1683238 1710387 1782252 2079294 2280516 2524857 3118941 3366476 3420774 4158588 5049714 5891333 6237882 6841548 7574571 10099428 11782666 12475764 15149142 17673999 23565332 30298284 35347998 53021997 70695996 106043994 212087988