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10022031240 = 23351323311493
BaseRepresentation
bin10010101010101110…
…00000111110001000
3221212110012221022020
421111113000332020
5131011114444430
64334250524440
7503232600654
oct112527007610
927773187266
1010022031240
1142831a2451
121b38436720
13c39432300
146b1059a64
153d9cb0b10
hex2555c0f88

10022031240 has 192 divisors, whose sum is σ = 32677007040. Its totient is φ = 2457861120.

The previous prime is 10022031223. The next prime is 10022031241. The reversal of 10022031240 is 4213022001.

It is a super-2 number, since 2×100220312402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10022031241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6711934 + ... + 6713426.

It is an arithmetic number, because the mean of its divisors is an integer number (170192745).

Almost surely, 210022031240 is an apocalyptic number.

10022031240 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 10022031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338503520).

10022031240 is an abundant number, since it is smaller than the sum of its proper divisors (22654975800).

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

10022031240 is a wasteful number, since it uses less digits than its factorization.

10022031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1847 counting only the distinct ones).

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

Adding to 10022031240 its reverse (4213022001), we get a palindrome (14235053241).

The spelling of 10022031240 in words is "ten billion, twenty-two million, thirty-one thousand, two hundred forty".