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10220122220 = 225711217231543
BaseRepresentation
bin10011000010010101…
…01011000001101100
3222101020222000001012
421201022223001230
5131412322402340
64410044404352
7511156414460
oct114112530154
928336860035
1010220122220
114374aa1100
121b928466b8
13c6b49b6c9
146cd4a24a0
153ec38e565
hex2612ab06c

10220122220 has 288 divisors, whose sum is σ = 29807253504. Its totient is φ = 2865899520.

The previous prime is 10220122219. The next prime is 10220122303. The reversal of 10220122220 is 2222102201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10220122195 and 10220122204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6622769 + ... + 6624311.

It is an arithmetic number, because the mean of its divisors is an integer number (103497408).

Almost surely, 210220122220 is an apocalyptic number.

10220122220 is a gapful number since it is divisible by the number (10) 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 10220122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903626752).

10220122220 is an abundant number, since it is smaller than the sum of its proper divisors (19587131284).

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

10220122220 is a wasteful number, since it uses less digits than its factorization.

10220122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220122220 its reverse (2222102201), we get a palindrome (12442224421).

It can be divided in two parts, 102201 and 22220, that added together give a palindrome (124421).

The spelling of 10220122220 in words is "ten billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twenty".