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1144022000 = 245311149349
BaseRepresentation
bin100010000110000…
…0110001111110000
32221201200100011012
41010030012033300
54320332201000
6305304210052
740231012052
oct10414061760
92851610135
101144022000
11537852730
1227b169928
131530250c4
14abd1b8d2
156a67e735
hex443063f0

1144022000 has 160 divisors (see below), whose sum is σ = 3046680000. Its totient is φ = 412032000.

The previous prime is 1144021997. The next prime is 1144022003. The reversal of 1144022000 is 2204411.

It is an interprime number because it is at equal distance from previous prime (1144021997) and next prime (1144022003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144022003) 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, 3277826 + ... + 3278174.

It is an arithmetic number, because the mean of its divisors is an integer number (19041750).

Almost surely, 21144022000 is an apocalyptic number.

1144022000 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 1144022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523340000).

1144022000 is an abundant number, since it is smaller than the sum of its proper divisors (1902658000).

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

1144022000 is a wasteful number, since it uses less digits than its factorization.

1144022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1144022000 is about 33823.3942708298. The cubic root of 1144022000 is about 1045.8710105666.

Adding to 1144022000 its reverse (2204411), we get a palindrome (1146226411).

The spelling of 1144022000 in words is "one billion, one hundred forty-four million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 149 176 200 220 250 275 298 349 400 440 500 550 596 698 745 880 1000 1100 1192 1375 1396 1490 1639 1745 2000 2200 2384 2750 2792 2980 3278 3490 3725 3839 4400 5500 5584 5960 6556 6980 7450 7678 8195 8725 11000 11920 13112 13960 14900 15356 16390 17450 18625 19195 22000 26224 27920 29800 30712 32780 34900 37250 38390 40975 43625 52001 59600 61424 65560 69800 74500 76780 81950 87250 95975 104002 131120 139600 149000 153560 163900 174500 191950 204875 208004 260005 298000 307120 327800 349000 383900 409750 416008 479875 520010 572011 655600 698000 767800 819500 832016 959750 1040020 1144022 1300025 1535600 1639000 1919500 2080040 2288044 2600050 2860055 3278000 3839000 4160080 4576088 5200100 5720110 6500125 7678000 9152176 10400200 11440220 13000250 14300275 20800400 22880440 26000500 28600550 45760880 52001000 57201100 71501375 104002000 114402200 143002750 228804400 286005500 572011000 1144022000