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1664720232 = 233743792917
BaseRepresentation
bin110001100111001…
…1001110101101000
311022000110112211220
41203032121311220
511402132021412
6433104422040
756152613520
oct14316316550
94260415756
101664720232
11784766a4a
123a5617920
13206b76376
1411b140680
159b23568c
hex63399d68

1664720232 has 128 divisors (see below), whose sum is σ = 4930252800. Its totient is φ = 458535168.

The previous prime is 1664720221. The next prime is 1664720303. The reversal of 1664720232 is 2320274661.

It is a junction number, because it is equal to n+sod(n) for n = 1664720193 and 1664720202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569238 + ... + 572154.

It is an arithmetic number, because the mean of its divisors is an integer number (38517600).

Almost surely, 21664720232 is an apocalyptic number.

1664720232 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 1664720232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465126400).

1664720232 is an abundant number, since it is smaller than the sum of its proper divisors (3265532568).

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

1664720232 is a wasteful number, since it uses less digits than its factorization.

1664720232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 1664720232 is about 40800.9832234470. The cubic root of 1664720232 is about 1185.1693710088.

Adding to 1664720232 its reverse (2320274661), we get a palindrome (3984994893).

The spelling of 1664720232 in words is "one billion, six hundred sixty-four million, seven hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 79 84 86 129 158 168 172 237 258 301 316 344 474 516 553 602 632 903 948 1032 1106 1204 1659 1806 1896 2212 2408 2917 3318 3397 3612 4424 5834 6636 6794 7224 8751 10191 11668 13272 13588 17502 20382 20419 23336 23779 27176 35004 40764 40838 47558 61257 70008 71337 81528 81676 95116 122514 125431 142674 163352 190232 230443 245028 250862 285348 376293 460886 490056 501724 570696 691329 752586 878017 921772 1003448 1382658 1505172 1613101 1756034 1843544 2634051 2765316 3010344 3226202 3512068 4839303 5268102 5530632 6452404 7024136 9678606 9909049 10536204 12904808 19357212 19818098 21072408 29727147 38714424 39636196 59454294 69363343 79272392 118908588 138726686 208090029 237817176 277453372 416180058 554906744 832360116 1664720232