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1225440342 = 232717273461
BaseRepresentation
bin100100100001010…
…1011110001010110
310011101212211010100
41021002223301112
510002203042332
6321333234530
742240033240
oct11102536126
93141784110
101225440342
11579802515
122a2492a46
13166b60c39
14b8a73090
15728b367c
hex490abc56

1225440342 has 144 divisors (see below), whose sum is σ = 3274663392. Its totient is φ = 324311040.

The previous prime is 1225440341. The next prime is 1225440343. The reversal of 1225440342 is 2430445221.

1225440342 is a `hidden beast` number, since 1 + 2 + 254 + 403 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1225440341) and next prime (1225440343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225440341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2657992 + ... + 2658452.

It is an arithmetic number, because the mean of its divisors is an integer number (22740718).

Almost surely, 21225440342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225440342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637331696).

1225440342 is an abundant number, since it is smaller than the sum of its proper divisors (2049223050).

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

1225440342 is a wasteful number, since it uses less digits than its factorization.

1225440342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1225440342 is about 35006.2900347923. The cubic root of 1225440342 is about 1070.1156721252.

Adding to 1225440342 its reverse (2430445221), we get a palindrome (3655885563).

The spelling of 1225440342 in words is "one billion, two hundred twenty-five million, four hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 73 102 119 126 146 153 219 238 289 306 357 438 461 511 578 657 714 867 922 1022 1071 1241 1314 1383 1533 1734 2023 2142 2482 2601 2766 3066 3227 3723 4046 4149 4599 5202 6069 6454 7446 7837 8298 8687 9198 9681 11169 12138 15674 17374 18207 19362 21097 22338 23511 26061 29043 33653 36414 42194 47022 52122 54859 58086 63291 67306 70533 78183 100959 109718 126582 133229 141066 147679 156366 164577 189873 201918 235571 266458 295358 302877 329154 379746 399687 443037 471142 493731 572101 605754 706713 799374 886074 932603 987462 1144202 1199061 1329111 1413426 1716303 1865206 2120139 2398122 2658222 2797809 3432606 4004707 4240278 5148909 5595618 8009414 8393427 9725717 10297818 12014121 16786854 19451434 24028242 29177151 36042363 58354302 68080019 72084726 87531453 136160038 175062906 204240057 408480114 612720171 1225440342