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22212001000 = 235375935351
BaseRepresentation
bin10100101011111100…
…000011110011101000
32010022222210120011201
4110223330003303220
5330442233013000
614112024133544
71414301615260
oct245374036350
963288716151
1022212001000
119469106122
12437a9072b4
13212ca4b877
141109da87a0
158a005896a
hex52bf03ce8

22212001000 has 128 divisors (see below), whose sum is σ = 59512527360. Its totient is φ = 7601280000.

The previous prime is 22212000983. The next prime is 22212001033. The reversal of 22212001000 is 10021222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4148325 + ... + 4153675.

It is an arithmetic number, because the mean of its divisors is an integer number (464941620).

Almost surely, 222212001000 is an apocalyptic number.

22212001000 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 22212001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756263680).

22212001000 is an abundant number, since it is smaller than the sum of its proper divisors (37300526360).

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

22212001000 is a wasteful number, since it uses less digits than its factorization.

22212001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22212001000 its reverse (10021222), we get a palindrome (22222022222).

The spelling of 22212001000 in words is "twenty-two billion, two hundred twelve million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 593 700 875 1000 1186 1400 1750 2372 2965 3500 4151 4744 5351 5930 7000 8302 10702 11860 14825 16604 20755 21404 23720 26755 29650 33208 37457 41510 42808 53510 59300 74125 74914 83020 103775 107020 118600 133775 148250 149828 166040 187285 207550 214040 267550 296500 299656 374570 415100 518875 535100 593000 668875 749140 830200 936425 1037750 1070200 1337750 1498280 1872850 2075500 2675500 3173143 3745700 4151000 4682125 5351000 6346286 7491400 9364250 12692572 15865715 18728500 22212001 25385144 31731430 37457000 44424002 63462860 79328575 88848004 111060005 126925720 158657150 177696008 222120010 317314300 396642875 444240020 555300025 634628600 793285750 888480040 1110600050 1586571500 2221200100 2776500125 3173143000 4442400200 5553000250 11106000500 22212001000