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22010211020 = 2257273359857
BaseRepresentation
bin10100011111111010…
…010010101011001100
32002210221002120100202
4110133322102223030
5330034103223040
614040015113032
71406301464300
oct243772225314
962727076322
1022010211020
119375210346
124323212778
1320c9cb8905
1410cb27bd00
1588c499015
hex51fe92acc

22010211020 has 144 divisors (see below), whose sum is σ = 54719945280. Its totient is φ = 7413590016.

The previous prime is 22010211001. The next prime is 22010211023. The reversal of 22010211020 is 2011201022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22010210992 and 22010211010.

It is not an unprimeable number, because it can be changed into a prime (22010211023) 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 47 ways as a sum of consecutive naturals, for example, 25682432 + ... + 25683288.

It is an arithmetic number, because the mean of its divisors is an integer number (379999620).

Almost surely, 222010211020 is an apocalyptic number.

22010211020 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 22010211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27359972640).

22010211020 is an abundant number, since it is smaller than the sum of its proper divisors (32709734260).

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

22010211020 is a wasteful number, since it uses less digits than its factorization.

22010211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22010211020 its reverse (2011201022), we get a palindrome (24021412042).

The spelling of 22010211020 in words is "twenty-two billion, ten million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 359 365 490 511 718 730 857 980 1022 1436 1460 1714 1795 2044 2513 2555 3428 3577 3590 4285 5026 5110 5999 7154 7180 8570 10052 10220 11998 12565 14308 17140 17591 17885 23996 25130 26207 29995 35182 35770 41993 50260 52414 59990 62561 70364 71540 83986 87955 104828 119980 125122 131035 167972 175910 183449 209965 250244 262070 307663 312805 351820 366898 419930 437927 524140 615326 625610 733796 839860 875854 917245 1230652 1251220 1284143 1538315 1751708 1834490 2153641 2189635 2568286 3065489 3076630 3668980 4307282 4379270 5136572 6130978 6153260 6420715 8614564 8758540 10768205 12261956 12841430 15075487 15327445 21536410 22459399 25682860 30150974 30654890 43072820 44918798 60301948 61309780 75377435 89837596 112296995 150754870 157215793 224593990 301509740 314431586 449187980 628863172 786078965 1100510551 1572157930 2201021102 3144315860 4402042204 5502552755 11005105510 22010211020