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1125220392 = 2332313111621
BaseRepresentation
bin100001100010001…
…1000000000101000
32220102022010012100
41003010120000220
54301024023032
6303353213400
736612133632
oct10304300050
92812263170
101125220392
1152818080a
12274a01260
1314c1712aa
14a9625a52
1568bb897c
hex43118028

1125220392 has 96 divisors (see below), whose sum is σ = 3157839360. Its totient is φ = 361584000.

The previous prime is 1125220367. The next prime is 1125220403. The reversal of 1125220392 is 2930225211.

It is a happy number.

1125220392 is a `hidden beast` number, since 1 + 1 + 252 + 20 + 392 = 666.

It is a super-2 number, since 2×11252203922 = 2532241861145267328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693342 + ... + 694962.

It is an arithmetic number, because the mean of its divisors is an integer number (32894160).

Almost surely, 21125220392 is an apocalyptic number.

1125220392 is a gapful number since it is divisible by the number (12) 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 1125220392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578919680).

1125220392 is an abundant number, since it is smaller than the sum of its proper divisors (2032618968).

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

1125220392 is a wasteful number, since it uses less digits than its factorization.

1125220392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1125220392 is about 33544.3049115643. The cubic root of 1125220392 is about 1040.1098232150.

The spelling of 1125220392 in words is "one billion, one hundred twenty-five million, two hundred twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 311 372 558 622 744 933 1116 1244 1621 1866 2232 2488 2799 3242 3732 4863 5598 6484 7464 9641 9726 11196 12968 14589 19282 19452 22392 28923 29178 38564 38904 50251 57846 58356 77128 86769 100502 115692 116712 150753 173538 201004 231384 301506 347076 402008 452259 504131 603012 694152 904518 1008262 1206024 1512393 1809036 2016524 3024786 3618072 4033048 4537179 6049572 9074358 12099144 15628061 18148716 31256122 36297432 46884183 62512244 93768366 125024488 140652549 187536732 281305098 375073464 562610196 1125220392