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1992133220 = 2257211283653
BaseRepresentation
bin111011010111101…
…1000101001100100
312010211112212000212
41312233120221210
513034441230340
6525402154552
7100236565400
oct16657305144
95124485025
101992133220
119325641a0
124771b2a58
1325995176c
1414c80c100
15b9d5ba65
hex76bd8a64

1992133220 has 144 divisors (see below), whose sum is σ = 5335823808. Its totient is φ = 617783040.

The previous prime is 1992133193. The next prime is 1992133267. The reversal of 1992133220 is 223312991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3050414 + ... + 3051066.

It is an arithmetic number, because the mean of its divisors is an integer number (37054332).

Almost surely, 21992133220 is an apocalyptic number.

1992133220 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 1992133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667911904).

1992133220 is an abundant number, since it is smaller than the sum of its proper divisors (3343690588).

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

1992133220 is a wasteful number, since it uses less digits than its factorization.

1992133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 1992133220 is about 44633.3196166272. The cubic root of 1992133220 is about 1258.2669589811.

The spelling of 1992133220 in words is "one billion, nine hundred ninety-two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 283 308 385 490 539 566 653 770 980 1078 1132 1306 1415 1540 1981 2156 2612 2695 2830 3113 3265 3962 4571 5390 5660 6226 6530 7183 7924 9142 9905 10780 12452 13060 13867 14366 15565 18284 19810 21791 22855 27734 28732 31130 31997 35915 39620 43582 45710 50281 55468 62260 63994 69335 71830 87164 91420 100562 108955 127988 138670 143660 152537 159985 184799 201124 217910 251405 277340 305074 319970 351967 369598 435820 502810 610148 639940 703934 739196 762685 923995 1005620 1293593 1407868 1525370 1759835 1847990 2032789 2587186 3050740 3519670 3695980 4065578 5174372 6467965 7039340 8131156 9055151 10163945 12935930 14229523 18110302 20327890 25871860 28459046 36220604 40655780 45275755 56918092 71147615 90551510 99606661 142295230 181103020 199213322 284590460 398426644 498033305 996066610 1992133220