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10222421040 = 243251319471223
BaseRepresentation
bin10011000010100110…
…11100010000110000
3222101102021210102200
421201103130100300
5131413414433130
64410205543200
7511215100536
oct114123342060
928342253380
1010222421040
114376321257
121b93574b00
13c6bac4b60
146cd900156
153ec695760
hex2614dc430

10222421040 has 480 divisors, whose sum is σ = 39777454080. Its totient is φ = 2331224064.

The previous prime is 10222421029. The next prime is 10222421051. The reversal of 10222421040 is 4012422201.

It is an interprime number because it is at equal distance from previous prime (10222421029) and next prime (10222421051).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8357869 + ... + 8359091.

It is an arithmetic number, because the mean of its divisors is an integer number (82869696).

Almost surely, 210222421040 is an apocalyptic number.

10222421040 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 10222421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19888727040).

10222421040 is an abundant number, since it is smaller than the sum of its proper divisors (29555033040).

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

10222421040 is a wasteful number, since it uses less digits than its factorization.

10222421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222421040 its reverse (4012422201), we get a palindrome (14234843241).

The spelling of 10222421040 in words is "ten billion, two hundred twenty-two million, four hundred twenty-one thousand, forty".