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10220242344 = 2331332757187
BaseRepresentation
bin10011000010010110…
…01000010110101000
3222101021012002211020
421201023020112220
5131412340223334
64410051132440
7511160424624
oct114113102650
928337162736
1010220242344
114375073384
121b928a4120
13c6b5112a0
146cd4d4184
153ec3b4e49
hex2612c85a8

10220242344 has 32 divisors (see below), whose sum is σ = 27516037920. Its totient is φ = 3144689856.

The previous prime is 10220242343. The next prime is 10220242369. The reversal of 10220242344 is 44324202201.

It is a super-2 number, since 2×102202423442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10220242343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16378282 + ... + 16378905.

It is an arithmetic number, because the mean of its divisors is an integer number (859876185).

Almost surely, 210220242344 is an apocalyptic number.

It is an amenable number.

10220242344 is an abundant number, since it is smaller than the sum of its proper divisors (17295795576).

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

10220242344 is a wasteful number, since it uses less digits than its factorization.

10220242344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32757209 (or 32757205 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10220242344 its reverse (44324202201), we get a palindrome (54544444545).

The spelling of 10220242344 in words is "ten billion, two hundred twenty million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 32757187 65514374 98271561 131028748 196543122 262057496 393086244 425843431 786172488 851686862 1277530293 1703373724 2555060586 3406747448 5110121172 10220242344