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23210464640 = 2751113923719
BaseRepresentation
bin10101100111011100…
…111001010110000000
32012220120120202210112
4111213130321112000
5340013334332030
614355052450452
71451114460056
oct254734712600
965816522715
1023210464640
11993077a690
1245b9179a28
13225b86b65c
1411a28361d6
1590ca34a95
hex567739580

23210464640 has 128 divisors (see below), whose sum is σ = 60969888000. Its totient is φ = 8379095040.

The previous prime is 23210464637. The next prime is 23210464703. The reversal of 23210464640 is 4646401232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23210464597 and 23210464606.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 966701 + ... + 990419.

It is an arithmetic number, because the mean of its divisors is an integer number (476327250).

Almost surely, 223210464640 is an apocalyptic number.

23210464640 is a gapful number since it is divisible by the number (20) 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 23210464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30484944000).

23210464640 is an abundant number, since it is smaller than the sum of its proper divisors (37759423360).

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

23210464640 is a wasteful number, since it uses less digits than its factorization.

23210464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23888 (or 23876 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 23210464640 its reverse (4646401232), we get a palindrome (27856865872).

The spelling of 23210464640 in words is "twenty-three billion, two hundred ten million, four hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 139 160 176 220 278 320 352 440 556 640 695 704 880 1112 1390 1408 1529 1760 2224 2780 3058 3520 4448 5560 6116 7040 7645 8896 11120 12232 15290 17792 22240 23719 24464 30580 44480 47438 48928 61160 88960 94876 97856 118595 122320 189752 195712 237190 244640 260909 379504 474380 489280 521818 759008 948760 978560 1043636 1304545 1518016 1897520 2087272 2609090 3036032 3296941 3795040 4174544 5218180 6593882 7590080 8349088 10436360 13187764 15180160 16484705 16698176 20872720 26375528 32969410 33396352 36266351 41745440 52751056 65938820 72532702 83490880 105502112 131877640 145065404 166981760 181331755 211004224 263755280 290130808 362663510 422008448 527510560 580261616 725327020 1055021120 1160523232 1450654040 2110042240 2321046464 2901308080 4642092928 5802616160 11605232320 23210464640