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23210304240 = 24351937137567
BaseRepresentation
bin10101100111011100…
…010010001011110000
32012220120021121202210
4111213130102023300
5340013314213430
614355045212120
71451113221324
oct254734221360
965816247683
1023210304240
119930680122
1245b9101040
13225b813646
1411a27d3984
1590ca022b0
hex5677122f0

23210304240 has 160 divisors (see below), whose sum is σ = 77786449920. Its totient is φ = 5705137152.

The previous prime is 23210304211. The next prime is 23210304241. The reversal of 23210304240 is 4240301232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23210304241) 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 31 ways as a sum of consecutive naturals, for example, 99937 + ... + 237503.

It is an arithmetic number, because the mean of its divisors is an integer number (486165312).

Almost surely, 223210304240 is an apocalyptic number.

23210304240 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 23210304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38893224960).

23210304240 is an abundant number, since it is smaller than the sum of its proper divisors (54576145680).

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

23210304240 is a wasteful number, since it uses less digits than its factorization.

23210304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137639 (or 137633 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23210304240 its reverse (4240301232), we get a palindrome (27450605472).

The spelling of 23210304240 in words is "twenty-three billion, two hundred ten million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 37 38 40 48 57 60 74 76 80 95 111 114 120 148 152 185 190 222 228 240 285 296 304 370 380 444 456 555 570 592 703 740 760 888 912 1110 1140 1406 1480 1520 1776 2109 2220 2280 2812 2960 3515 4218 4440 4560 5624 7030 8436 8880 10545 11248 14060 16872 21090 28120 33744 42180 56240 84360 137567 168720 275134 412701 550268 687835 825402 1100536 1375670 1650804 2063505 2201072 2613773 2751340 3301608 4127010 5089979 5227546 5502680 6603216 7841319 8254020 10179958 10455092 11005360 13068865 15269937 15682638 16508040 20359916 20910184 25449895 26137730 30539874 31365276 33016080 39206595 40719832 41820368 50899790 52275460 61079748 62730552 76349685 78413190 81439664 96709601 101799580 104550920 122159496 125461104 152699370 156826380 193419202 203599160 209101840 244318992 290128803 305398740 313652760 386838404 407198320 483548005 580257606 610797480 627305520 773676808 967096010 1160515212 1221594960 1450644015 1547353616 1934192020 2321030424 2901288030 3868384040 4642060848 5802576060 7736768080 11605152120 23210304240