Search a number
-
+
23219903616 = 273731371191
BaseRepresentation
bin10101101000000000…
…111001110010000000
32012221020100022122020
4111220000321302000
5340023243403431
614400031041440
71451260632000
oct255000716200
965836308566
1023219903616
119936037298
124600370280
1322607c4a50
1411a3bb2000
1590d79b696
hex568039c80

23219903616 has 512 divisors, whose sum is σ = 78962688000. Its totient is φ = 6006067200.

The previous prime is 23219903587. The next prime is 23219903639. The reversal of 23219903616 is 61630991232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121570081 + ... + 121570271.

It is an arithmetic number, because the mean of its divisors is an integer number (154224000).

Almost surely, 223219903616 is an apocalyptic number.

23219903616 is a gapful number since it is divisible by the number (26) 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 23219903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344000).

23219903616 is an abundant number, since it is smaller than the sum of its proper divisors (55742784384).

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

23219903616 is a wasteful number, since it uses less digits than its factorization.

23219903616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 23219903616 in words is "twenty-three billion, two hundred nineteen million, nine hundred three thousand, six hundred sixteen".