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1122296370 = 2351319311487
BaseRepresentation
bin100001011100100…
…1110001000110010
32220012210120012020
41002321032020302
54244301440440
6303210412310
736545235036
oct10271161062
92805716166
101122296370
11526563968
12273a31096
1314b6893c0
14a90a41c6
15687dc3d0
hex42e4e232

1122296370 has 128 divisors (see below), whose sum is σ = 3069480960. Its totient is φ = 260340480.

The previous prime is 1122296363. The next prime is 1122296381. The reversal of 1122296370 is 736922211.

It is a super-3 number, since 3×11222963703 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2304267 + ... + 2304753.

It is an arithmetic number, because the mean of its divisors is an integer number (23980320).

Almost surely, 21122296370 is an apocalyptic number.

1122296370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122296370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534740480).

1122296370 is an abundant number, since it is smaller than the sum of its proper divisors (1947184590).

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

1122296370 is a wasteful number, since it uses less digits than its factorization.

1122296370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1122296370 is about 33500.6920824033. The cubic root of 1122296370 is about 1039.2080910635.

The spelling of 1122296370 in words is "one billion, one hundred twenty-two million, two hundred ninety-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 311 390 487 494 570 622 741 933 974 1235 1461 1482 1555 1866 2435 2470 2922 3110 3705 4043 4665 4870 5909 6331 7305 7410 8086 9253 9330 11818 12129 12662 14610 17727 18506 18993 20215 24258 27759 29545 31655 35454 37986 40430 46265 55518 59090 60645 63310 76817 88635 92530 94965 120289 121290 138795 151457 153634 177270 189930 230451 240578 277590 302914 360867 384085 454371 460902 601445 721734 757285 768170 908742 1152255 1202890 1514570 1804335 1968941 2271855 2304510 2877683 3608670 3937882 4543710 5755366 5906823 8633049 9844705 11813646 14388415 17266098 19689410 28776830 29534115 37409879 43165245 59068230 74819758 86330490 112229637 187049395 224459274 374098790 561148185 1122296370