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22111420400 = 2452672333541
BaseRepresentation
bin10100100101111100…
…010111111111110000
32010001222112112112022
4110211330113333300
5330241010423100
614054032251012
71411640654336
oct244574277760
963058475468
1022111420400
119417358463
1243510a0a68
132114c63a14
1410da8a5b56
158962dbe85
hex525f17ff0

22111420400 has 120 divisors (see below), whose sum is σ = 54162252144. Its totient is φ = 8672716800.

The previous prime is 22111420399. The next prime is 22111420421. The reversal of 22111420400 is 402411122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6242630 + ... + 6246170.

Almost surely, 222111420400 is an apocalyptic number.

22111420400 is a gapful number since it is divisible by the number (20) 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 22111420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081126072).

22111420400 is an abundant number, since it is smaller than the sum of its proper divisors (32050831744).

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

22111420400 is a wasteful number, since it uses less digits than its factorization.

22111420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3859 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22111420400 its reverse (402411122), we get a palindrome (22513831522).

The spelling of 22111420400 in words is "twenty-two billion, one hundred eleven million, four hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 233 268 335 400 466 536 670 932 1072 1165 1340 1675 1864 2330 2680 3350 3541 3728 4660 5360 5825 6700 7082 9320 11650 13400 14164 15611 17705 18640 23300 26800 28328 31222 35410 46600 56656 62444 70820 78055 88525 93200 124888 141640 156110 177050 237247 249776 283280 312220 354100 390275 474494 624440 708200 780550 825053 948988 1186235 1248880 1416400 1561100 1650106 1897976 2372470 3122200 3300212 3795952 4125265 4744940 5931175 6244400 6600424 8250530 9489880 11862350 13200848 16501060 18979760 20626325 23724700 33002120 41252650 47449400 55278551 66004240 82505300 94898800 110557102 165010600 221114204 276392755 330021200 442228408 552785510 884456816 1105571020 1381963775 2211142040 2763927550 4422284080 5527855100 11055710200 22111420400