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1142022000 = 24353727191
BaseRepresentation
bin100010000010001…
…1101111101110000
32221120220201200010
41010010131331300
54314324201000
6305153254520
740205012130
oct10404357560
92846821603
101142022000
11536707039
1227a564440
131527a4982
14ab95aac0
156a3d6d50
hex4411df70

1142022000 has 160 divisors (see below), whose sum is σ = 4208016384. Its totient is φ = 261024000.

The previous prime is 1142021987. The next prime is 1142022023. The reversal of 1142022000 is 2202411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28405 + ... + 55595.

Almost surely, 21142022000 is an apocalyptic number.

1142022000 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 1142022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104008192).

1142022000 is an abundant number, since it is smaller than the sum of its proper divisors (3065994384).

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

1142022000 is a wasteful number, since it uses less digits than its factorization.

1142022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27224 (or 27208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1142022000 is about 33793.8160023398. The cubic root of 1142022000 is about 1045.2611848386.

Adding to 1142022000 its reverse (2202411), we get a palindrome (1144224411).

The spelling of 1142022000 in words is "one billion, one hundred forty-two million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 27191 42000 54382 81573 108764 135955 163146 190337 217528 271910 326292 380674 407865 435056 543820 571011 652584 679775 761348 815730 951685 1087640 1142022 1305168 1359550 1522696 1631460 1903370 2039325 2175280 2284044 2719100 2855055 3045392 3262920 3398875 3806740 4078650 4568088 4758425 5438200 5710110 6525840 6797750 7613480 8157300 9136176 9516850 10196625 10876400 11420220 13595500 14275275 15226960 16314600 19033700 20393250 22840440 23792125 27191000 28550550 32629200 38067400 40786500 45680880 47584250 54382000 57101100 71376375 76134800 81573000 95168500 114202200 142752750 163146000 190337000 228404400 285505500 380674000 571011000 1142022000