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23470240000 = 28543832
BaseRepresentation
bin10101110110111011…
…110111000100000000
32020120200101201121011
4111312323313010000
5341031340140000
614440532410304
71460420514454
oct256673670400
966520351534
1023470240000
119a5437a769
124670176994
1322a062459c
1411c9138664
1592574a2ba
hex576ef7100

23470240000 has 135 divisors (see below), whose sum is σ = 58695510643. Its totient is φ = 9363584000.

The previous prime is 23470239997. The next prime is 23470240021. The reversal of 23470240000 is 4207432.

The square root of 23470240000 is 153200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1840066816 + 21630173184 = 42896^2 + 147072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 61279809 + ... + 61280191.

Almost surely, 223470240000 is an apocalyptic number.

23470240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23470240000 is the 153200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23470240000

23470240000 is an abundant number, since it is smaller than the sum of its proper divisors (35225270643).

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

23470240000 is an frugal number, since it uses more digits than its factorization.

23470240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

Adding to 23470240000 its reverse (4207432), we get a palindrome (23474447432).

The spelling of 23470240000 in words is "twenty-three billion, four hundred seventy million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 383 400 500 625 640 766 800 1000 1250 1280 1532 1600 1915 2000 2500 3064 3200 3830 4000 5000 6128 6400 7660 8000 9575 10000 12256 15320 16000 19150 20000 24512 30640 32000 38300 40000 47875 49024 61280 76600 80000 95750 98048 122560 146689 153200 160000 191500 239375 245120 293378 306400 383000 478750 490240 586756 612800 733445 766000 957500 1173512 1225600 1466890 1532000 1915000 2347024 2451200 2933780 3064000 3667225 3830000 4694048 5867560 6128000 7334450 7660000 9388096 11735120 12256000 14668900 15320000 18336125 18776192 23470240 29337800 30640000 36672250 37552384 46940480 58675600 61280000 73344500 91680625 93880960 117351200 146689000 183361250 187761920 234702400 293378000 366722500 469404800 586756000 733445000 938809600 1173512000 1466890000 2347024000 2933780000 4694048000 5867560000 11735120000 23470240000