Search a number
-
+
1422134100 = 2232522935393
BaseRepresentation
bin101010011000100…
…0000101101010100
310200002222220020100
41110301000231110
510403031242400
6353041134100
750145640362
oct12461005524
93602886210
101422134100
1166a837442
1233832a330
1319882b38a
14d6c34632
1584cb8100
hex54c40b54

1422134100 has 108 divisors (see below), whose sum is σ = 4473643356. Its totient is φ = 377871360.

The previous prime is 1422134093. The next prime is 1422134101. The reversal of 1422134100 is 14312241.

1422134100 is a `hidden beast` number, since 1 + 42 + 213 + 410 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 233539524 + 1188594576 = 15282^2 + 34476^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422134101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261004 + ... + 266396.

Almost surely, 21422134100 is an apocalyptic number.

1422134100 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 1422134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236821678).

1422134100 is an abundant number, since it is smaller than the sum of its proper divisors (3051509256).

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

1422134100 is a wasteful number, since it uses less digits than its factorization.

1422134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1422134100 is about 37711.1932985420. The cubic root of 1422134100 is about 1124.5536599765.

Adding to 1422134100 its reverse (14312241), we get a palindrome (1436446341).

The spelling of 1422134100 in words is "one billion, four hundred twenty-two million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 293 300 450 586 879 900 1172 1465 1758 2637 2930 3516 4395 5274 5393 5860 7325 8790 10548 10786 13185 14650 16179 17580 21572 21975 26370 26965 29300 32358 43950 48537 52740 53930 64716 65925 80895 87900 97074 107860 131850 134825 161790 194148 242685 263700 269650 323580 404475 485370 539300 808950 970740 1213425 1580149 1617900 2426850 3160298 4740447 4853700 6320596 7900745 9480894 14221341 15801490 18961788 23702235 28442682 31602980 39503725 47404470 56885364 71106705 79007450 94808940 118511175 142213410 158014900 237022350 284426820 355533525 474044700 711067050 1422134100