Search a number
-
+
23116541400 = 233552475649
BaseRepresentation
bin10101100001110110…
…100110110111011000
32012200000211222100000
4111201312212313120
5334320313311100
614341455413000
71445564234301
oct254166466730
965600758300
1023116541400
119892759777
124591824160
132245274a84
1411941877a8
15904680900
hex561da6dd8

23116541400 has 144 divisors (see below), whose sum is σ = 80508519000. Its totient is φ = 6164398080.

The previous prime is 23116541363. The next prime is 23116541407. The reversal of 23116541400 is 414561132.

It is a happy number.

23116541400 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 654 + 1 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23116541407) 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 35 ways as a sum of consecutive naturals, for example, 189225 + ... + 286424.

Almost surely, 223116541400 is an apocalyptic number.

23116541400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23116541400 is an abundant number, since it is smaller than the sum of its proper divisors (57391977600).

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

23116541400 is a wasteful number, since it uses less digits than its factorization.

23116541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475680 (or 475659 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 23116541400 in words is "twenty-three billion, one hundred sixteen million, five hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 48600 475649 951298 1426947 1902596 2378245 2853894 3805192 4280841 4756490 5707788 7134735 8561682 9512980 11415576 11891225 12842523 14269470 17123364 19025960 21404205 23782450 25685046 28538940 34246728 35673675 38527569 42808410 47564900 51370092 57077880 64212615 71347350 77055138 85616820 95129800 102740184 107021025 115582707 128425230 142694700 154110276 171233640 192637845 214042050 231165414 256850460 285389400 308220552 321063075 385275690 428084100 462330828 513700920 577913535 642126150 770551380 856168200 924661656 963189225 1155827070 1284252300 1541102760 1926378450 2311654140 2568504600 2889567675 3852756900 4623308280 5779135350 7705513800 11558270700 23116541400