Search a number
-
+
23212454400320 = 2652329108754003
BaseRepresentation
bin1010100011100100100100…
…00110010101000101000000
310001012002101212011120000012
411101302102012111011000
511020303101311302240
6121211353200444052
74614021154624013
oct521622206250500
9101162355146005
1023212454400320
11743a38a3a8239
12272a890019628
13cc4c04475143
145a36bb33937a
152a3c2112bb65
hex151c92195140

23212454400320 has 112 divisors (see below), whose sum is σ = 59666796754560. Its totient is φ = 8575035549696.

The previous prime is 23212454400307. The next prime is 23212454400347. The reversal of 23212454400320 is 2300445421232.

It is a super-2 number, since 2×232124544003202 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54163562 + ... + 54590441.

Almost surely, 223212454400320 is an apocalyptic number.

23212454400320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212454400320 is an abundant number, since it is smaller than the sum of its proper divisors (36454342354240).

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

23212454400320 is a wasteful number, since it uses less digits than its factorization.

23212454400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108754072 (or 108754062 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 23212454400320 its reverse (2300445421232), we get a palindrome (25512899821552).

The spelling of 23212454400320 in words is "twenty-three trillion, two hundred twelve billion, four hundred fifty-four million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 145 160 184 230 232 290 320 368 460 464 580 667 736 920 928 1160 1334 1472 1840 1856 2320 2668 3335 3680 4640 5336 6670 7360 9280 10672 13340 21344 26680 42688 53360 106720 213440 108754003 217508006 435016012 543770015 870032024 1087540030 1740064048 2175080060 2501342069 3153866087 3480128096 4350160120 5002684138 6307732174 6960256192 8700320240 10005368276 12506710345 12615464348 15769330435 17400640480 20010736552 25013420690 25230928696 31538660870 34801280960 40021473104 50026841380 50461857392 63077321740 72538920001 80042946208 100053682760 100923714784 126154643480 145077840002 160085892416 200107365520 201847429568 252309286960 290155680004 362694600005 400214731040 504618573920 580311360008 725389200010 800429462080 1009237147840 1160622720016 1450778400020 2321245440032 2901556800040 4642490880064 5803113600080 11606227200160 23212454400320