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222300121032 = 233311151619607
BaseRepresentation
bin1100111100001000011…
…1101010011111001000
3210020210110220012122000
43033002013222133020
512120232312333112
6250042343031000
722026542565063
oct3170207523710
9706713805560
10222300121032
11863056941a0
12370bba3b460
1317c693b2072
14aa8ba678da
155bb10d77dc
hex33c21ea7c8

222300121032 has 128 divisors (see below), whose sum is σ = 678098995200. Its totient is φ = 66917448000.

The previous prime is 222300121031. The next prime is 222300121061. The reversal of 222300121032 is 230121003222.

222300121032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222300120996 and 222300121014.

It is not an unprimeable number, because it can be changed into a prime (222300121031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48973 + ... + 668579.

It is an arithmetic number, because the mean of its divisors is an integer number (5297648400).

Almost surely, 2222300121032 is an apocalyptic number.

222300121032 is a gapful number since it is divisible by the number (22) 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 222300121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339049497600).

222300121032 is an abundant number, since it is smaller than the sum of its proper divisors (455798874168).

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

222300121032 is a wasteful number, since it uses less digits than its factorization.

222300121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619784 (or 619774 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222300121032 its reverse (230121003222), we get a palindrome (452421124254).

The spelling of 222300121032 in words is "two hundred twenty-two billion, three hundred million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 151 198 216 264 297 302 396 453 594 604 792 906 1188 1208 1359 1661 1812 2376 2718 3322 3624 4077 4983 5436 6644 8154 9966 10872 13288 14949 16308 19932 29898 32616 39864 44847 59796 89694 119592 179388 358776 619607 1239214 1858821 2478428 3717642 4956856 5576463 6815677 7435284 11152926 13631354 14870568 16729389 20447031 22305852 27262708 33458778 40894062 44611704 54525416 61341093 66917556 81788124 93560657 122682186 133835112 163576248 184023279 187121314 245364372 280681971 368046558 374242628 490728744 561363942 736093116 748485256 842045913 1029167227 1122727884 1472186232 1684091826 2058334454 2245455768 2526137739 3087501681 3368183652 4116668908 5052275478 6175003362 6736367304 8233337816 9262505043 10104550956 12350006724 18525010086 20209101912 24700013448 27787515129 37050020172 55575030258 74100040344 111150060516 222300121032