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23324153200 = 2452711994127
BaseRepresentation
bin10101101110001110…
…100101010101110000
32020012111111202011221
4111232032211111300
5340231440400300
614414233314424
71453665013435
oct255616452560
966174452157
1023324153200
119989970577
12462b265a14
1322792958aa
1411b398bb8c
159179e031a
hex56e3a5570

23324153200 has 120 divisors (see below), whose sum is σ = 57124915200. Its totient is φ = 9149817600.

The previous prime is 23324153179. The next prime is 23324153219. The reversal of 23324153200 is 235142332.

It is a super-2 number, since 2×233241532002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5649537 + ... + 5653663.

It is an arithmetic number, because the mean of its divisors is an integer number (476040960).

Almost surely, 223324153200 is an apocalyptic number.

23324153200 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 23324153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28562457600).

23324153200 is an abundant number, since it is smaller than the sum of its proper divisors (33800762000).

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

23324153200 is a wasteful number, since it uses less digits than its factorization.

23324153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 23324153200 its reverse (235142332), we get a palindrome (23559295532).

The spelling of 23324153200 in words is "twenty-three billion, three hundred twenty-four million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 199 200 284 355 398 400 568 710 796 995 1136 1420 1592 1775 1990 2840 3184 3550 3980 4127 4975 5680 7100 7960 8254 9950 14129 14200 15920 16508 19900 20635 28258 28400 33016 39800 41270 56516 66032 70645 79600 82540 103175 113032 141290 165080 206350 226064 282580 293017 330160 353225 412700 565160 586034 706450 821273 825400 1130320 1172068 1412900 1465085 1642546 1650800 2344136 2825800 2930170 3285092 4106365 4688272 5651600 5860340 6570184 7325425 8212730 11720680 13140368 14650850 16425460 20531825 23441360 29301700 32850920 41063650 58310383 58603400 65701840 82127300 116620766 117206800 164254600 233241532 291551915 328509200 466483064 583103830 932966128 1166207660 1457759575 2332415320 2915519150 4664830640 5831038300 11662076600 23324153200