Search a number
-
+
21961212 = 2237213317
BaseRepresentation
bin101001111000…
…1100111111100
31112022202010020
41103301213330
521110224322
62102412140
7354444600
oct123614774
945282106
1021961212
111143a869
127431050
13471c000
142cb9500
151ddc05c
hex14f19fc

21961212 has 144 divisors (see below), whose sum is σ = 68372640. Its totient is φ = 5451264.

The previous prime is 21961187. The next prime is 21961243. The reversal of 21961212 is 21216912.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1291828 + ... + 1291844.

It is an arithmetic number, because the mean of its divisors is an integer number (474810).

Almost surely, 221961212 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 21961212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34186320).

21961212 is an abundant number, since it is smaller than the sum of its proper divisors (46411428).

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

21961212 is a wasteful number, since it uses less digits than its factorization.

21961212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 21961212 is about 4686.2791210085. The cubic root of 21961212 is about 280.0391611893.

The spelling of 21961212 in words is "twenty-one million, nine hundred sixty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 49 51 52 68 78 84 91 98 102 119 147 156 169 182 196 204 221 238 273 294 338 357 364 442 476 507 546 588 637 663 676 714 833 884 1014 1092 1183 1274 1326 1428 1547 1666 1911 2028 2197 2366 2499 2548 2652 2873 3094 3332 3549 3822 4394 4641 4732 4998 5746 6188 6591 7098 7644 8281 8619 8788 9282 9996 10829 11492 13182 14196 15379 16562 17238 18564 20111 21658 24843 26364 30758 32487 33124 34476 37349 40222 43316 46137 49686 60333 61516 64974 74698 80444 92274 99372 107653 112047 120666 129948 140777 149396 184548 215306 224094 241332 261443 281554 322959 422331 430612 448188 522886 563108 645918 784329 844662 1045772 1291836 1568658 1689324 1830101 3137316 3660202 5490303 7320404 10980606 21961212