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23254600000 = 2655116273
BaseRepresentation
bin10101101010000101…
…010000100101000000
32020000122122002010111
4111222011100211000
5340111134200000
614403310441104
71452161560432
oct255205204500
966018562114
1023254600000
119953685195
12460bb03194
132267a52558
1411a8644652
15911851cba
hex56a150940

23254600000 has 84 divisors (see below), whose sum is σ = 57679112988. Its totient is φ = 9301760000.

The previous prime is 23254599989. The next prime is 23254600003. The reversal of 23254600000 is 645232.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14281206016 + 8973393984 = 119504^2 + 94728^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23254600003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141864 + ... + 258136.

It is an arithmetic number, because the mean of its divisors is an integer number (686656107).

Almost surely, 223254600000 is an apocalyptic number.

23254600000 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 23254600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28839556494).

23254600000 is an abundant number, since it is smaller than the sum of its proper divisors (34424512988).

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

23254600000 is an frugal number, since it uses more digits than its factorization.

23254600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116310 (or 116280 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 23254600000 in words is "twenty-three billion, two hundred fifty-four million, six hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 100000 116273 200000 232546 465092 581365 930184 1162730 1860368 2325460 2906825 3720736 4650920 5813650 7441472 9301840 11627300 14534125 18603680 23254600 29068250 37207360 46509200 58136500 72670625 93018400 116273000 145341250 186036800 232546000 290682500 363353125 465092000 581365000 726706250 930184000 1162730000 1453412500 2325460000 2906825000 4650920000 5813650000 11627300000 23254600000