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21222211010200 = 2352937156772269
BaseRepresentation
bin1001101001101001011100…
…10110010011111010011000
32210010211020101002211200121
410310310232112103322120
510240201042004311300
6113045203225443024
74320153113135464
oct464645626237230
983124211084617
1021222211010200
11684231a942902
12246900b640474
13bac327361315
145352365734a4
1526c08998181a
hex134d2e593e98

21222211010200 has 96 divisors (see below), whose sum is σ = 49426505251200. Its totient is φ = 8474295997440.

The previous prime is 21222211010183. The next prime is 21222211010201. The reversal of 21222211010200 is 201011222212.

It is a happy number.

It is a super-2 number, since 2×212222110102002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222211010201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293619666 + ... + 293691934.

It is an arithmetic number, because the mean of its divisors is an integer number (514859429700).

Almost surely, 221222211010200 is an apocalyptic number.

21222211010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222211010200 is an abundant number, since it is smaller than the sum of its proper divisors (28204294241000).

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

21222211010200 is a wasteful number, since it uses less digits than its factorization.

21222211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74789 (or 74780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21222211010200 its reverse (201011222212), we get a palindrome (21423222232412).

The spelling of 21222211010200 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred eleven million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 937 1567 1874 3134 3748 4685 6268 7496 7835 9370 12536 15670 18740 23425 31340 37480 39175 46850 62680 72269 78350 93700 144538 156700 187400 289076 313400 361345 578152 722690 1445380 1468279 1806725 2890760 2936558 3613450 5873116 7226900 7341395 11746232 14453800 14682790 29365580 36706975 58731160 67716053 73413950 113245523 135432106 146827900 226491046 270864212 293655800 338580265 452982092 541728424 566227615 677160530 905964184 1132455230 1354321060 1692901325 2264910460 2708642120 2831138075 3385802650 4529820920 5662276150 6771605300 11324552300 13543210600 22649104600 106111055051 212222110102 424444220204 530555275255 848888440408 1061110550510 2122221101020 2652776376275 4244442202040 5305552752550 10611105505100 21222211010200