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1022423440 = 245196111027
BaseRepresentation
bin111100111100001…
…111000110010000
32122020212111021211
4330330033012100
54043220022230
6245242025504
734223312233
oct7474170620
92566774254
101022423440
11485149955
122464a8294
13133a8b6ac
1499b0741a
155eb6042a
hex3cf0f190

1022423440 has 80 divisors (see below), whose sum is σ = 2543497920. Its totient is φ = 381058560.

The previous prime is 1022423419. The next prime is 1022423443. The reversal of 1022423440 is 443242201.

It is a happy number.

1022423440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10224234402 = 2090699381322867200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022423443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87207 + ... + 98233.

It is an arithmetic number, because the mean of its divisors is an integer number (31793724).

Almost surely, 21022423440 is an apocalyptic number.

1022423440 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 1022423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271748960).

1022423440 is an abundant number, since it is smaller than the sum of its proper divisors (1521074480).

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

1022423440 is a wasteful number, since it uses less digits than its factorization.

1022423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1022423440 is about 31975.3567611059. The cubic root of 1022423440 is about 1007.4192978847.

Adding to 1022423440 its reverse (443242201), we get a palindrome (1465665641).

The spelling of 1022423440 in words is "one billion, twenty-two million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 61 76 80 95 122 152 190 244 304 305 380 488 610 760 976 1159 1220 1520 2318 2440 4636 4880 5795 9272 11027 11590 18544 22054 23180 44108 46360 55135 88216 92720 110270 176432 209513 220540 419026 441080 672647 838052 882160 1047565 1345294 1676104 2095130 2690588 3352208 3363235 4190260 5381176 6726470 8380520 10762352 12780293 13452940 16761040 25560586 26905880 51121172 53811760 63901465 102242344 127802930 204484688 255605860 511211720 1022423440