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19921212 = 22321743757
BaseRepresentation
bin100101111111…
…1100100111100
31101111002202200
41023333210330
520044434322
61550551500
7331220223
oct113774474
941432680
1019921212
1110277113
126808590
1341865cc
142907cba
151b378ac
hex12ff93c

19921212 has 72 divisors (see below), whose sum is σ = 54630576. Its totient is φ = 6096384.

The previous prime is 19921211. The next prime is 19921217. The reversal of 19921212 is 21212991.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19921211) 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, 25938 + ... + 26694.

It is an arithmetic number, because the mean of its divisors is an integer number (758758).

Almost surely, 219921212 is an apocalyptic number.

19921212 is a gapful number since it is divisible by the number (12) 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 19921212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27315288).

19921212 is an abundant number, since it is smaller than the sum of its proper divisors (34709364).

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

19921212 is a wasteful number, since it uses less digits than its factorization.

19921212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 822 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 19921212 is about 4463.3184963657. The cubic root of 19921212 is about 271.0848533549.

The spelling of 19921212 in words is "nineteen million, nine hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 757 774 1462 1514 1548 2193 2271 2924 3028 4386 4542 6579 6813 8772 9084 12869 13158 13626 25738 26316 27252 32551 38607 51476 65102 77214 97653 115821 130204 154428 195306 231642 292959 390612 463284 553367 585918 1106734 1171836 1660101 2213468 3320202 4980303 6640404 9960606 19921212