Search a number
-
+
21798400212 = 22341714926561
BaseRepresentation
bin10100010011010010…
…010011000011010100
32002021011112110120000
4110103102103003110
5324120342301322
614003011211300
71401120226131
oct242322230324
962234473500
1021798400212
1192766a0796
1242842a6b30
132095157784
1410ab0a3588
15878aaa3ac
hex5134930d4

21798400212 has 120 divisors (see below), whose sum is σ = 60744637800. Its totient is φ = 6792560640.

The previous prime is 21798400193. The next prime is 21798400223. The reversal of 21798400212 is 21200489712.

It can be written as a sum of positive squares in 4 ways, for example, as 5451754896 + 16346645316 = 73836^2 + 127854^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 807412 + ... + 833972.

It is an arithmetic number, because the mean of its divisors is an integer number (506205315).

Almost surely, 221798400212 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 21798400212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30372318900).

21798400212 is an abundant number, since it is smaller than the sum of its proper divisors (38946237588).

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

21798400212 is a wasteful number, since it uses less digits than its factorization.

21798400212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26743 (or 26732 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 21798400212 its reverse (21200489712), we get a palindrome (42998889924).

The spelling of 21798400212 in words is "twenty-one billion, seven hundred ninety-eight million, four hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 149 153 162 204 298 306 324 447 459 596 612 894 918 1341 1377 1788 1836 2533 2682 2754 4023 5066 5364 5508 7599 8046 10132 12069 15198 16092 22797 24138 26561 30396 45594 48276 53122 68391 79683 91188 106244 136782 159366 205173 239049 273564 318732 410346 451537 478098 717147 820692 903074 956196 1354611 1434294 1806148 2151441 2709222 2868588 3957589 4063833 4302882 5418444 7915178 8127666 8605764 11872767 12191499 15830356 16255332 23745534 24382998 35618301 36574497 47491068 48765996 67279013 71236602 73148994 106854903 134558026 142473204 146297988 201837039 213709806 269116052 320564709 403674078 427419612 605511117 641129418 807348156 1211022234 1282258836 1816533351 2422044468 3633066702 5449600053 7266133404 10899200106 21798400212