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232023010950 = 23352901319069
BaseRepresentation
bin1101100000010110100…
…1100010111010000110
3211011220002020012012000
43120011221202322012
512300140342322300
6254331230210130
722522514023653
oct3300551427206
9734802205160
10232023010950
118a444a39305
1238b74053946
1318b58857373
14b331094c2a
15607e9a8c00
hex3605a62e86

232023010950 has 96 divisors (see below), whose sum is σ = 639456765600. Its totient is φ = 61862693760.

The previous prime is 232023010939. The next prime is 232023010951. The reversal of 232023010950 is 59010320232.

232023010950 is a `hidden beast` number, since 2 + 320 + 230 + 109 + 5 + 0 = 666.

It is a super-2 number, since 2×2320230109502 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232023010951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12158016 + ... + 12177084.

It is an arithmetic number, because the mean of its divisors is an integer number (6661007975).

Almost surely, 2232023010950 is an apocalyptic number.

232023010950 is an abundant number, since it is smaller than the sum of its proper divisors (407433754650).

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

232023010950 is a wasteful number, since it uses less digits than its factorization.

232023010950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28103 (or 28092 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 232023010950 in words is "two hundred thirty-two billion, twenty-three million, ten thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 9013 18026 19069 27039 38138 45065 54078 57207 81117 90130 95345 114414 135195 162234 171621 190690 225325 243351 270390 286035 343242 405585 450650 476725 486702 514863 572070 675975 811170 858105 953450 1029726 1216755 1351950 1430175 1716210 2027925 2433510 2574315 2860350 4055850 4290525 5148630 6083775 8581050 12167550 12871575 25743150 171868897 343737794 515606691 859344485 1031213382 1546820073 1718688970 2578033455 3093640146 4296722425 4640460219 5156066910 7734100365 8593444850 9280920438 12890167275 15468200730 23202301095 25780334550 38670501825 46404602190 77341003650 116011505475 232023010950