Search a number
-
+
244953995220 = 2232511439712963
BaseRepresentation
bin1110010000100001100…
…1010101011111010100
3212102021021011020212100
43210020121111133110
513003131210321340
6304310314122100
723461121414364
oct3441031253724
9772237136770
10244953995220
1194980165170
123b582720330
131a13984354c
14bbda5b69a4
156589d26830
hex39086557d4

244953995220 has 288 divisors, whose sum is σ = 830560034304. Its totient is φ = 57922502400.

The previous prime is 244953995191. The next prime is 244953995233. The reversal of 244953995220 is 22599359442.

244953995220 is a `hidden beast` number, since 24 + 4 + 9 + 5 + 3 + 99 + 522 + 0 = 666.

244953995220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82669459 + ... + 82672421.

It is an arithmetic number, because the mean of its divisors is an integer number (2883889008).

Almost surely, 2244953995220 is an apocalyptic number.

244953995220 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 244953995220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415280017152).

244953995220 is an abundant number, since it is smaller than the sum of its proper divisors (585606039084).

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

244953995220 is a wasteful number, since it uses less digits than its factorization.

244953995220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 244953995220 in words is "two hundred forty-four billion, nine hundred fifty-three million, nine hundred ninety-five thousand, two hundred twenty".