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23150190240 = 2532516076521
BaseRepresentation
bin10101100011110110…
…111101111010100000
32012202101011111212100
4111203312331322200
5334402422041430
614345100530400
71446453241002
oct254366757240
965671144770
1023150190240
1198aa751631
1245a0b50a00
13224c226828
141198826372
159075ca960
hex563dbdea0

23150190240 has 72 divisors (see below), whose sum is σ = 79000029108. Its totient is φ = 6173383680.

The previous prime is 23150190221. The next prime is 23150190247. The reversal of 23150190240 is 4209105132.

23150190240 is a `hidden beast` number, since 2 + 31 + 501 + 90 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23046883344 + 103306896 = 151812^2 + 10164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (23150190247) 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, 8036821 + ... + 8039700.

Almost surely, 223150190240 is an apocalyptic number.

23150190240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23150190240 is an abundant number, since it is smaller than the sum of its proper divisors (55849838868).

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

23150190240 is a wasteful number, since it uses less digits than its factorization.

23150190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16076542 (or 16076531 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 23150190240 its reverse (4209105132), we get a palindrome (27359295372).

The spelling of 23150190240 in words is "twenty-three billion, one hundred fifty million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16076521 32153042 48229563 64306084 80382605 96459126 128612168 144688689 160765210 192918252 241147815 257224336 289377378 321530420 385836504 482295630 514448672 578754756 643060840 723443445 771673008 964591260 1157509512 1286121680 1446886890 1543346016 1929182520 2315019024 2572243360 2893773780 3858365040 4630038048 5787547560 7716730080 11575095120 23150190240