Search a number
-
+
219801602196 = 2232117322933203
BaseRepresentation
bin1100110010110100110…
…0100100100010010100
3210000100100111022010100
43030231030210202110
512100123202232241
6244550411054100
721610613535441
oct3145514444224
9700310438110
10219801602196
1185243301aa0
1236723141330
131795b880b57
14a8d1cc09c8
155ab6aa09b6
hex332d324894

219801602196 has 144 divisors (see below), whose sum is σ = 617124231360. Its totient is φ = 65405283840.

The previous prime is 219801602161. The next prime is 219801602261. The reversal of 219801602196 is 691206108912.

219801602196 is a `hidden beast` number, since 21 + 9 + 8 + 0 + 1 + 602 + 19 + 6 = 666.

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, 6603331 + ... + 6636533.

It is an arithmetic number, because the mean of its divisors is an integer number (4285584940).

Almost surely, 2219801602196 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 219801602196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308562115680).

219801602196 is an abundant number, since it is smaller than the sum of its proper divisors (397322629164).

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

219801602196 is a wasteful number, since it uses less digits than its factorization.

219801602196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33526 (or 33521 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 219801602196 in words is "two hundred nineteen billion, eight hundred one million, six hundred two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 229 292 396 438 458 657 687 803 876 916 1314 1374 1606 2061 2409 2519 2628 2748 3212 4122 4818 5038 7227 7557 8244 9636 10076 14454 15114 16717 22671 28908 30228 33203 33434 45342 50151 66406 66868 90684 99609 100302 132812 150453 183887 199218 200604 298827 300906 365233 367774 398436 551661 597654 601812 730466 735548 1095699 1103322 1195308 1460932 1654983 2191398 2206644 2423819 3287097 3309966 4382796 4847638 6574194 6619932 7271457 7603487 9695276 13148388 14542914 15206974 21814371 22810461 26662009 29085828 30413948 43628742 45620922 53324018 68431383 79986027 83638357 87257484 91241844 106648036 136862766 159972054 167276714 239958081 250915071 273725532 319944108 334553428 479916162 501830142 555054551 752745213 959832324 1003660284 1110109102 1505490426 1665163653 2220218204 3010980852 3330327306 4995490959 6105600061 6660654612 9990981918 12211200122 18316800183 19981963836 24422400244 36633600366 54950400549 73267200732 109900801098 219801602196