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10220002212 = 22373726312503
BaseRepresentation
bin10011000010010100…
…01101101110100100
3222101020201220102110
421201022031232210
5131412310032322
64410042041020
7511155404550
oct114112155644
928336656373
1010220002212
114374a19a22
121b927a9170
13c6b458bb4
146cd470860
153ec368c0c
hex26128dba4

10220002212 has 96 divisors (see below), whose sum is σ = 28098588672. Its totient is φ = 2830052736.

The previous prime is 10220002211. The next prime is 10220002213. The reversal of 10220002212 is 21220002201.

It is an interprime number because it is at equal distance from previous prime (10220002211) and next prime (10220002213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10220002211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811153 + ... + 823655.

It is an arithmetic number, because the mean of its divisors is an integer number (292693632).

Almost surely, 210220002212 is an apocalyptic number.

10220002212 is a gapful number since it is divisible by the number (12) 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 10220002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14049294336).

10220002212 is an abundant number, since it is smaller than the sum of its proper divisors (17878586460).

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

10220002212 is a wasteful number, since it uses less digits than its factorization.

10220002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12817 (or 12815 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10220002212 its reverse (21220002201), we get a palindrome (31440004413).

The spelling of 10220002212 in words is "ten billion, two hundred twenty million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 263 444 518 526 777 789 1036 1052 1554 1578 1841 3108 3156 3682 5523 7364 9731 11046 12503 19462 22092 25006 29193 37509 38924 50012 58386 68117 75018 87521 116772 136234 150036 175042 204351 262563 272468 350084 408702 462611 525126 817404 925222 1050252 1387833 1850444 2775666 3238277 3288289 5551332 6476554 6576578 9714831 9864867 12953108 13153156 19429662 19729734 23018023 38859324 39459468 46036046 69054069 92072092 121666693 138108138 243333386 276216276 365000079 486666772 730000158 851666851 1460000316 1703333702 2555000553 3406667404 5110001106 10220002212