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10220432444 = 2223539372237
BaseRepresentation
bin10011000010010111…
…10110110000111100
3222101021112202120222
421201023312300330
5131412412314234
64410055200512
7511162146065
oct114113666074
928337482528
1010220432444
114375193192
121b92976138
13c6b579981
146cd54356c
153ec40142e
hex2612f6c3c

10220432444 has 48 divisors (see below), whose sum is σ = 19044341568. Its totient is φ = 4788546048.

The previous prime is 10220432441. The next prime is 10220432533. The reversal of 10220432444 is 44423402201.

It is a happy number.

10220432444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220432441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4567694 + ... + 4569930.

It is an arithmetic number, because the mean of its divisors is an integer number (396757116).

Almost surely, 210220432444 is an apocalyptic number.

It is an amenable number.

10220432444 is a deficient number, since it is larger than the sum of its proper divisors (8823909124).

10220432444 is a wasteful number, since it uses less digits than its factorization.

10220432444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10220432444 its reverse (44423402201), we get a palindrome (54643834645).

The spelling of 10220432444 in words is "ten billion, two hundred twenty million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 23 46 53 92 106 212 937 1219 1874 2237 2438 3748 4474 4876 8948 21551 43102 49661 51451 86204 99322 102902 118561 198644 205804 237122 474244 1142203 2096069 2284406 2726903 4192138 4568812 5453806 8384276 10907612 48209587 96419174 111091657 192838348 222183314 444366628 2555108111 5110216222 10220432444