Search a number
-
+
20233640025 = 34522921092
BaseRepresentation
bin10010110110000001…
…001101100001011001
31221020010011102010000
4102312001031201121
5312414302440100
613143433043213
71314260050104
oct226601154131
957203142100
1020233640025
1186433a9255
123b08256509
131ba5c0c981
14d9d34373b
157d651c900
hex4b604d859

20233640025 has 135 divisors (see below), whose sum is σ = 39176047911. Its totient is φ = 10323573120.

The previous prime is 20233639957. The next prime is 20233640039. The reversal of 20233640025 is 52004633202.

The square root of 20233640025 is 142245.

It is a perfect power (a square), and thus also a powerful number.

20233640025 is a `hidden beast` number, since 2 + 0 + 233 + 6 + 400 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 8405772489 + 11827867536 = 91683^2 + 108756^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 20233640025 - 213 = 20233631833 is a prime.

It is a super-2 number, since 2×202336400252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 185629671 + ... + 185629779.

Almost surely, 220233640025 is an apocalyptic number.

20233640025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20233640025 is the 142245-th square number.

20233640025 is the 71123-rd centered octagonal number.

It is an amenable number.

20233640025 is a deficient number, since it is larger than the sum of its proper divisors (18942407886).

20233640025 is an equidigital number, since it uses as much as digits as its factorization.

20233640025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 20233640025 in words is "twenty billion, two hundred thirty-three million, six hundred forty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 109 135 145 225 261 327 405 435 545 675 725 783 841 981 1305 1635 2025 2175 2349 2523 2725 2943 3161 3915 4205 4905 6525 7569 8175 8829 9483 11745 11881 12615 14715 15805 19575 21025 22707 24525 28449 35643 37845 44145 47415 58725 59405 63075 68121 73575 79025 85347 91669 106929 113535 142245 178215 189225 220725 237075 256041 275007 297025 320787 340605 344549 426735 458345 534645 567675 711225 825021 891075 962361 1033647 1280205 1375035 1603935 1703025 1722745 2133675 2291725 2475063 2673225 3100941 4125105 4811805 5168235 6401025 6875175 7425189 8019675 8613725 9302823 9991921 12375315 15504705 20625525 24059025 25841175 27908469 29975763 37125945 46514115 49959605 61876575 77523525 89927289 139542345 149878815 185629725 232570575 249798025 269781867 449636445 697711725 749394075 809345601 1348909335 2248182225 4046728005 6744546675 20233640025