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1140222000 = 24353296553
BaseRepresentation
bin100001111110110…
…0110100000110000
32221110112021112110
41003331212200300
54313344101000
6305050525320
740153504251
oct10375464060
92843467473
101140222000
11535697735
12279a36840
131522c4598
14ab60cb28
156a17d850
hex43f66830

1140222000 has 160 divisors (see below), whose sum is σ = 3803417280. Its totient is φ = 293529600.

The previous prime is 1140221993. The next prime is 1140222037. The reversal of 1140222000 is 2220411.

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

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, 170724 + ... + 177276.

It is an arithmetic number, because the mean of its divisors is an integer number (23771358).

Almost surely, 21140222000 is an apocalyptic number.

1140222000 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 1140222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901708640).

1140222000 is an abundant number, since it is smaller than the sum of its proper divisors (2663195280).

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

1140222000 is a wasteful number, since it uses less digits than its factorization.

1140222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6608 (or 6592 counting only the distinct ones).

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

The square root of 1140222000 is about 33767.1734085043. The cubic root of 1140222000 is about 1044.7117326409.

Adding to 1140222000 its reverse (2220411), we get a palindrome (1142442411).

The spelling of 1140222000 in words is "one billion, one hundred forty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6553 6960 7250 8700 10875 11600 13106 14500 17400 19659 21750 26212 29000 32765 34800 39318 43500 52424 58000 65530 78636 87000 98295 104848 131060 157272 163825 174000 190037 196590 262120 314544 327650 380074 393180 491475 524240 570111 655300 760148 786360 819125 950185 982950 1140222 1310600 1520296 1572720 1638250 1900370 1965900 2280444 2457375 2621200 2850555 3040592 3276500 3800740 3931800 4560888 4750925 4914750 5701110 6553000 7601480 7863600 9121776 9501850 9829500 11402220 13106000 14252775 15202960 19003700 19659000 22804440 23754625 28505550 38007400 39318000 45608880 47509250 57011100 71263875 76014800 95018500 114022200 142527750 190037000 228044400 285055500 380074000 570111000 1140222000