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22221000200 = 23527214471567
BaseRepresentation
bin10100101100011110…
…011000111000001000
32010100121201202202102
4110230132120320020
5331002034001300
614112545052532
71414441246100
oct245436307010
963317652672
1022221000200
1194731a2383
124381927148
13213187ca39
14110b26c200
158a0c350d5
hex52c798e08

22221000200 has 144 divisors (see below), whose sum is σ = 60178648320. Its totient is φ = 7608504960.

The previous prime is 22221000187. The next prime is 22221000209. The reversal of 22221000200 is 200012222.

It is not an unprimeable number, because it can be changed into a prime (22221000209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14179817 + ... + 14181383.

It is an arithmetic number, because the mean of its divisors is an integer number (417907280).

Almost surely, 222221000200 is an apocalyptic number.

22221000200 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 22221000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30089324160).

22221000200 is an abundant number, since it is smaller than the sum of its proper divisors (37957648120).

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

22221000200 is a wasteful number, since it uses less digits than its factorization.

22221000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22221000200 its reverse (200012222), we get a palindrome (22421012422).

The spelling of 22221000200 in words is "twenty-two billion, two hundred twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1447 1567 1960 2450 2894 3134 4900 5788 6268 7235 7835 9800 10129 10969 11576 12536 14470 15670 20258 21938 28940 31340 36175 39175 40516 43876 50645 54845 57880 62680 70903 72350 76783 78350 81032 87752 101290 109690 141806 144700 153566 156700 202580 219380 253225 274225 283612 289400 307132 313400 354515 383915 405160 438760 506450 548450 567224 614264 709030 767830 1012900 1096900 1418060 1535660 1772575 1919575 2025800 2193800 2267449 2836120 3071320 3545150 3839150 4534898 7090300 7678300 9069796 11337245 14180600 15356600 15872143 18139592 22674490 31744286 45348980 56686225 63488572 79360715 90697960 111105001 113372450 126977144 158721430 222210002 226744900 317442860 396803575 444420004 453489800 555525005 634885720 793607150 888840008 1111050010 1587214300 2222100020 2777625025 3174428600 4444200040 5555250050 11110500100 22221000200