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190221024 = 25371716651
BaseRepresentation
bin10110101011010…
…00101011100000
3111020221020012010
423111220223200
5342144033044
630513032520
74466565150
oct1325505340
9436836163
10190221024
1198413964
1253855740
1330542226
141b398760
1511a76bb9
hexb568ae0

190221024 has 96 divisors (see below), whose sum is σ = 604267776. Its totient is φ = 51148800.

The previous prime is 190221013. The next prime is 190221029. The reversal of 190221024 is 420122091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190221029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3099 + ... + 19749.

It is an arithmetic number, because the mean of its divisors is an integer number (6294456).

Almost surely, 2190221024 is an apocalyptic number.

190221024 is a gapful number since it is divisible by the number (14) 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 190221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302133888).

190221024 is an abundant number, since it is smaller than the sum of its proper divisors (414046752).

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

190221024 is a wasteful number, since it uses less digits than its factorization.

190221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16688 (or 16680 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 190221024 is about 13792.0638049568. The cubic root of 190221024 is about 575.1125415505.

The spelling of 190221024 in words is "one hundred ninety million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 16651 33302 49953 66604 99906 116557 133208 199812 233114 266416 283067 349671 399624 466228 532832 566134 699342 799248 849201 932456 1132268 1398684 1598496 1698402 1864912 1981469 2264536 2797368 3396804 3729824 3962938 4529072 5594736 5944407 6793608 7925876 9058144 11189472 11888814 13587216 15851752 23777628 27174432 31703504 47555256 63407008 95110512 190221024