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1942223712 = 2531113210883
BaseRepresentation
bin111001111000011…
…1111101101100000
312000100122012001120
41303300333231200
512434202124322
6520420332240
766062425542
oct16360775540
95010565046
101942223712
11907375470
12462544080
1324c4c8600
14145d39692
15b579da5c
hex73c3fb60

1942223712 has 144 divisors (see below), whose sum is σ = 6023118528. Its totient is φ = 543229440.

The previous prime is 1942223711. The next prime is 1942223737. The reversal of 1942223712 is 2173222491.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1942223711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173023 + ... + 183905.

It is an arithmetic number, because the mean of its divisors is an integer number (41827212).

Almost surely, 21942223712 is an apocalyptic number.

1942223712 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 1942223712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011559264).

1942223712 is an abundant number, since it is smaller than the sum of its proper divisors (4080894816).

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

1942223712 is a wasteful number, since it uses less digits than its factorization.

1942223712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10933 (or 10912 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 1942223712 is about 44070.6672515858. The cubic root of 1942223712 is about 1247.6700516643.

It can be divided in two parts, 19422 and 23712, that added together give a palindrome (43134).

The spelling of 1942223712 in words is "one billion, nine hundred forty-two million, two hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 169 176 208 264 286 312 338 352 416 429 507 528 572 624 676 858 1014 1056 1144 1248 1352 1716 1859 2028 2288 2704 3432 3718 4056 4576 5408 5577 6864 7436 8112 10883 11154 13728 14872 16224 21766 22308 29744 32649 43532 44616 59488 65298 87064 89232 119713 130596 141479 174128 178464 239426 261192 282958 348256 359139 424437 478852 522384 565916 718278 848874 957704 1044768 1131832 1436556 1556269 1697748 1839227 1915408 2263664 2873112 3112538 3395496 3678454 3830816 4527328 4668807 5517681 5746224 6225076 6790992 7356908 9337614 11035362 11492448 12450152 13581984 14713816 18675228 20231497 22070724 24900304 29427632 37350456 40462994 44141448 49800608 58855264 60694491 74700912 80925988 88282896 121388982 149401824 161851976 176565792 242777964 323703952 485555928 647407904 971111856 1942223712