Search a number
-
+
220979111640 = 2335719313671217
BaseRepresentation
bin1100110111001101100…
…0011010011011011000
3210010101102011222102020
43031303120122123120
512110031123033030
6245303313134440
721652032312540
oct3156330323330
9703342158366
10220979111640
1185797a472a1
12369b155a420
1317ab87cc3c1
14a9a4438320
155b35147510
hex337361a6d8

220979111640 has 512 divisors, whose sum is σ = 826166476800. Its totient is φ = 46143406080.

The previous prime is 220979111623. The next prime is 220979111657. The reversal of 220979111640 is 46111979022.

It is an interprime number because it is at equal distance from previous prime (220979111623) and next prime (220979111657).

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

It is a junction number, because it is equal to n+sod(n) for n = 220979111592 and 220979111601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 181576312 + ... + 181577528.

It is an arithmetic number, because the mean of its divisors is an integer number (1613606400).

Almost surely, 2220979111640 is an apocalyptic number.

220979111640 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 220979111640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413083238400).

220979111640 is an abundant number, since it is smaller than the sum of its proper divisors (605187365160).

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

220979111640 is a wasteful number, since it uses less digits than its factorization.

220979111640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 220979111640 in words is "two hundred twenty billion, nine hundred seventy-nine million, one hundred eleven thousand, six hundred forty".