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981224190 = 2325173072089
BaseRepresentation
bin111010011111000…
…100101011111110
32112101100100112200
4322133010223332
54002143133230
6241211012330
733213160632
oct7237045376
92471310480
10981224190
1146396a291
1223473a0a6
1312839503b
1494460dc2
155b223160
hex3a7c4afe

981224190 has 96 divisors (see below), whose sum is σ = 2711348640. Its totient is φ = 245348352.

The previous prime is 981224147. The next prime is 981224197. The reversal of 981224190 is 91422189.

It is a super-2 number, since 2×9812241902 = 1925601822082312200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981224197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468666 + ... + 470754.

It is an arithmetic number, because the mean of its divisors is an integer number (28243215).

Almost surely, 2981224190 is an apocalyptic number.

981224190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 981224190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355674320).

981224190 is an abundant number, since it is smaller than the sum of its proper divisors (1730124450).

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

981224190 is a wasteful number, since it uses less digits than its factorization.

981224190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 981224190 is about 31324.4982401953. The cubic root of 981224190 is about 993.7018127815.

The spelling of 981224190 in words is "nine hundred eighty-one million, two hundred twenty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 307 510 614 765 921 1530 1535 1842 2089 2763 3070 4178 4605 5219 5526 6267 9210 10438 10445 12534 13815 15657 18801 20890 26095 27630 31314 31335 35513 37602 46971 52190 62670 71026 78285 93942 94005 106539 156570 177565 188010 213078 234855 319617 355130 469710 532695 639234 641323 1065390 1282646 1598085 1923969 3196170 3206615 3847938 5771907 6413230 9619845 10902491 11543814 19239690 21804982 28859535 32707473 54512455 57719070 65414946 98122419 109024910 163537365 196244838 327074730 490612095 981224190