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23053211224000 = 265319697146299
BaseRepresentation
bin1010011110111011111100…
…11101110100011111000000
310000121212100221001000220221
411033131332131310133000
511010200434033132000
6121010255442512424
74566353031146566
oct517357635643700
9100555327030827
1023053211224000
1173888a28159a1
122703a49965714
13cb2ba6c51ba9
14599ad2151a36
1529ea00d3861a
hex14f77e7747c0

23053211224000 has 112 divisors (see below), whose sum is σ = 57094566328800. Its totient is φ = 9220753305600.

The previous prime is 23053211223949. The next prime is 23053211224003. The reversal of 23053211224000 is 42211235032.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23053211224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157502851 + ... + 157649149.

It is an arithmetic number, because the mean of its divisors is an integer number (509772913650).

Almost surely, 223053211224000 is an apocalyptic number.

23053211224000 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 23053211224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28547283164400).

23053211224000 is an abundant number, since it is smaller than the sum of its proper divisors (34041355104800).

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

23053211224000 is a wasteful number, since it uses less digits than its factorization.

23053211224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166023 (or 166003 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 23053211224000 its reverse (42211235032), we get a palindrome (23095422459032).

The spelling of 23053211224000 in words is "twenty-three trillion, fifty-three billion, two hundred eleven million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 19697 39394 78788 98485 146299 157576 196970 292598 315152 393940 492425 585196 630304 731495 787880 984850 1170392 1260608 1462990 1575760 1969700 2340784 2462125 2925980 3151520 3657475 3939400 4681568 4924250 5851960 6303040 7314950 7878800 9363136 9848500 11703920 14629900 15757600 18287375 19697000 23407840 29259800 31515200 36574750 39394000 46815680 58519600 73149500 78788000 117039200 146299000 157576000 234078400 292598000 585196000 1170392000 2881651403 5763302806 11526605612 14408257015 23053211224 28816514030 46106422448 57633028060 72041285075 92212844896 115266056120 144082570150 184425689792 230532112240 288165140300 360206425375 461064224480 576330280600 720412850750 922128448960 1152660561200 1440825701500 2305321122400 2881651403000 4610642244800 5763302806000 11526605612000 23053211224000