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23274553600 = 285219072
BaseRepresentation
bin10101101011010001…
…011000000100000000
32020002001011211022201
4111223101120010000
5340131241203400
614405302242544
71452523304254
oct255321300400
966061154281
1023274553600
119963973671
124616726454
13226bc1a80c
1411ab15a264
1591349406a
hex56b458100

23274553600 has 81 divisors (see below), whose sum is σ = 57638381437. Its totient is φ = 9304939520.

The previous prime is 23274553597. The next prime is 23274553607. The reversal of 23274553600 is 635547232.

The square root of 23274553600 is 152560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8378839296 + 14895714304 = 91536^2 + 122048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23274553600.

It is not an unprimeable number, because it can be changed into a prime (23274553607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12203847 + ... + 12205753.

Almost surely, 223274553600 is an apocalyptic number.

23274553600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23274553600 is the 152560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23274553600

23274553600 is an abundant number, since it is smaller than the sum of its proper divisors (34363827837).

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

23274553600 is an frugal number, since it uses more digits than its factorization.

23274553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 37.

The spelling of 23274553600 in words is "twenty-three billion, two hundred seventy-four million, five hundred fifty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 1907 3200 3814 6400 7628 9535 15256 19070 30512 38140 47675 61024 76280 95350 122048 152560 190700 244096 305120 381400 488192 610240 762800 1220480 1525600 2440960 3051200 3636649 6102400 7273298 12204800 14546596 18183245 29093192 36366490 58186384 72732980 90916225 116372768 145465960 181832450 232745536 290931920 363664900 465491072 581863840 727329800 930982144 1163727680 1454659600 2327455360 2909319200 4654910720 5818638400 11637276800 23274553600