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1354422000 = 24353376101
BaseRepresentation
bin101000010111010…
…1101011011110000
310111101120202200210
41100232231123300
510233213001000
6342221544120
745364253121
oct12056553360
93441522623
101354422000
11635599328
12319715040
131877b1049
14cbc4a048
157dd90350
hex50bad6f0

1354422000 has 160 divisors (see below), whose sum is σ = 4485409344. Its totient is φ = 351360000.

The previous prime is 1354421993. The next prime is 1354422001. The reversal of 1354422000 is 2244531.

1354422000 is digitally balanced in base 4, 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 (1354422001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218950 + ... + 225050.

Almost surely, 21354422000 is an apocalyptic number.

1354422000 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 1354422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242704672).

1354422000 is an abundant number, since it is smaller than the sum of its proper divisors (3130987344).

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

1354422000 is a wasteful number, since it uses less digits than its factorization.

1354422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1354422000 is about 36802.4727430101. The cubic root of 1354422000 is about 1106.4148594038.

Adding to 1354422000 its reverse (2244531), we get a palindrome (1356666531).

The spelling of 1354422000 in words is "one billion, three hundred fifty-four million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 6101 7400 8880 9250 11100 12202 13875 14800 18303 18500 22200 24404 27750 30505 36606 37000 44400 48808 55500 61010 73212 74000 91515 97616 111000 122020 146424 152525 183030 222000 225737 244040 292848 305050 366060 451474 457575 488080 610100 677211 732120 762625 902948 915150 1128685 1220200 1354422 1464240 1525250 1805896 1830300 2257370 2287875 2440400 2708844 3050500 3386055 3611792 3660600 4514740 4575750 5417688 5643425 6101000 6772110 7321200 9029480 9151500 10835376 11286850 12202000 13544220 16930275 18058960 18303000 22573700 27088440 28217125 33860550 36606000 45147400 54176880 56434250 67721100 84651375 90294800 112868500 135442200 169302750 225737000 270884400 338605500 451474000 677211000 1354422000