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10220103222 = 2372337733917
BaseRepresentation
bin10011000010010101…
…00110011000110110
3222101020221000222120
421201022212120312
5131412321300342
64410044140410
7511156305210
oct114112463066
928336830876
1010220103222
114374a888aa
121b92837706
13c6b492b74
146cd4995b0
153ec388aec
hex2612a6636

10220103222 has 128 divisors (see below), whose sum is σ = 25384126464. Its totient is φ = 2679671808.

The previous prime is 10220103167. The next prime is 10220103239. The reversal of 10220103222 is 22230102201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2607208 + ... + 2611124.

It is an arithmetic number, because the mean of its divisors is an integer number (198313488).

Almost surely, 210220103222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220103222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12692063232).

10220103222 is an abundant number, since it is smaller than the sum of its proper divisors (15164023242).

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

10220103222 is a wasteful number, since it uses less digits than its factorization.

10220103222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10220103222 its reverse (22230102201), we get a palindrome (32450205423).

The spelling of 10220103222 in words is "ten billion, two hundred twenty million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 73 74 111 138 146 161 219 222 259 322 438 483 511 518 777 851 966 1022 1533 1554 1679 1702 2553 2701 3066 3358 3917 5037 5106 5402 5957 7834 8103 10074 11751 11753 11914 16206 17871 18907 23502 23506 27419 35259 35742 37814 54838 56721 62123 70518 82257 90091 113442 124246 144929 164514 180182 186369 270273 285941 289858 372738 434787 434861 540546 571882 630637 857823 869574 869722 1014503 1261274 1304583 1715646 1891911 2001587 2029006 2609166 3043509 3333367 3783822 4003174 6004761 6087018 6576643 6666734 10000101 10579817 12009522 13153286 19729929 20000202 21159634 23333569 31739451 39459858 46036501 46667138 63478902 70000707 74058719 92073002 138109503 140001414 148117438 222176157 243335791 276219006 444352314 486671582 730007373 1460014746 1703350537 3406701074 5110051611 10220103222