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23212000320 = 263537653491
BaseRepresentation
bin10101100111100010…
…110000010001000000
32012220200110210100120
4111213202300101000
5340014233002240
614355145420240
71451133514215
oct254742602100
965820423316
1023212000320
119931629443
1245b979a680
13225bc88642
1411a2b15b0c
1590cc39ad0
hex5678b0440

23212000320 has 112 divisors (see below), whose sum is σ = 75690057408. Its totient is φ = 6022563840.

The previous prime is 23212000307. The next prime is 23212000321. The reversal of 23212000320 is 2300021232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23212000320.

It is not an unprimeable number, because it can be changed into a prime (23212000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291226 + ... + 362265.

It is an arithmetic number, because the mean of its divisors is an integer number (675804084).

Almost surely, 223212000320 is an apocalyptic number.

23212000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212000320 is an abundant number, since it is smaller than the sum of its proper divisors (52478057088).

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

23212000320 is a wasteful number, since it uses less digits than its factorization.

23212000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653548 (or 653538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23212000320 its reverse (2300021232), we get a palindrome (25512021552).

The spelling of 23212000320 in words is "twenty-three billion, two hundred twelve million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4440 5920 7104 8880 11840 17760 35520 653491 1306982 1960473 2613964 3267455 3920946 5227928 6534910 7841892 9802365 10455856 13069820 15683784 19604730 20911712 24179167 26139640 31367568 39209460 41823424 48358334 52279280 62735136 72537501 78418920 96716668 104558560 120895835 125470272 145075002 156837840 193433336 209117120 241791670 290150004 313675680 362687505 386866672 483583340 580300008 627351360 725375010 773733344 967166680 1160600016 1450750020 1547466688 1934333360 2321200032 2901500040 3868666720 4642400064 5803000080 7737333440 11606000160 23212000320