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1422403668 = 2232717219531
BaseRepresentation
bin101010011001000…
…0010100001010100
310200010111121000100
41110302002201110
510403113404133
6353051014100
750151142320
oct12462024124
93603447010
101422403668
1166aa00a24
1233843a330
131988c3c9a
14d6ca4980
1584d1ce13
hex54c82854

1422403668 has 108 divisors (see below), whose sum is σ = 4365323872. Its totient is φ = 382475520.

The previous prime is 1422403663. The next prime is 1422403679. The reversal of 1422403668 is 8663042241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422403663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63063 + ... + 82593.

Almost surely, 21422403668 is an apocalyptic number.

1422403668 is a gapful number since it is divisible by the number (18) 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 1422403668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182661936).

1422403668 is an abundant number, since it is smaller than the sum of its proper divisors (2942920204).

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

1422403668 is a wasteful number, since it uses less digits than its factorization.

1422403668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19582 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1422403668 is about 37714.7672404325. The cubic root of 1422403668 is about 1124.6247091903.

The spelling of 1422403668 in words is "one billion, four hundred twenty-two million, four hundred three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 289 306 357 476 578 612 714 867 1071 1156 1428 1734 2023 2142 2601 3468 4046 4284 5202 6069 8092 10404 12138 18207 19531 24276 36414 39062 58593 72828 78124 117186 136717 175779 234372 273434 332027 351558 410151 546868 664054 703116 820302 996081 1230453 1328108 1640604 1992162 2324189 2460906 2988243 3984324 4648378 4921812 5644459 5976486 6972567 9296756 11288918 11952972 13945134 16933377 20917701 22577836 27890268 33866754 39511213 41835402 50800131 67733508 79022426 83670804 101600262 118533639 158044852 203200524 237067278 355600917 474134556 711201834 1422403668