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23343050400 = 2535219511909
BaseRepresentation
bin10101101111010110…
…101010111010100000
32020020211001211021020
4111233112222322200
5340301310103100
614420150325440
71454314440345
oct255726527240
966224054236
1023343050400
1199995a829a
124635659880
132280181077
1411b62aa7cc
159194c45a0
hex56f5aaea0

23343050400 has 144 divisors (see below), whose sum is σ = 79980818400. Its totient is φ = 5897180160.

The previous prime is 23343050399. The next prime is 23343050407. The reversal of 23343050400 is 405034332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23343050407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210355 + ... + 301554.

It is an arithmetic number, because the mean of its divisors is an integer number (555422350).

Almost surely, 223343050400 is an apocalyptic number.

23343050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23343050400 is an abundant number, since it is smaller than the sum of its proper divisors (56637768000).

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

23343050400 is a wasteful number, since it uses less digits than its factorization.

23343050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511951 (or 511938 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 23343050400 its reverse (405034332), we get a palindrome (23748084732).

The spelling of 23343050400 in words is "twenty-three billion, three hundred forty-three million, fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1140 1200 1425 1520 1824 1900 2280 2400 2850 3040 3800 4560 5700 7600 9120 11400 15200 22800 45600 511909 1023818 1535727 2047636 2559545 3071454 4095272 5119090 6142908 7678635 8190544 9726271 10238180 12285816 12797725 15357270 16381088 19452542 20476360 24571632 25595450 29178813 30714540 38393175 38905084 40952720 48631355 49143264 51190900 58357626 61429080 76786350 77810168 81905440 97262710 102381800 116715252 122858160 145894065 153572700 155620336 194525420 204763600 233430504 243156775 245716320 291788130 307145400 311240672 389050840 409527200 466861008 486313550 583576260 614290800 729470325 778101680 933722016 972627100 1167152520 1228581600 1458940650 1556203360 1945254200 2334305040 2917881300 3890508400 4668610080 5835762600 7781016800 11671525200 23343050400