Search a number
-
+
979466220 = 22325173741211
BaseRepresentation
bin111010011000010…
…111011111101100
32112021001001001200
4322120113133230
54001220404340
6241105205500
733162216435
oct7230273754
92467031050
10979466220
11462979517
12234030890
13127bcab15
149412448c
155aec7330
hex3a6177ec

979466220 has 288 divisors, whose sum is σ = 3325323456. Its totient is φ = 232243200.

The previous prime is 979466209. The next prime is 979466249. The reversal of 979466220 is 22664979.

It is a super-2 number, since 2×9794662202 = 1918708152242176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4641915 + ... + 4642125.

It is an arithmetic number, because the mean of its divisors is an integer number (11546262).

Almost surely, 2979466220 is an apocalyptic number.

979466220 is a gapful number since it is divisible by the number (90) 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 979466220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662661728).

979466220 is an abundant number, since it is smaller than the sum of its proper divisors (2345857236).

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

979466220 is a wasteful number, since it uses less digits than its factorization.

979466220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 979466220 is about 31296.4250354573. The cubic root of 979466220 is about 993.1080163498.

The spelling of 979466220 in words is "nine hundred seventy-nine million, four hundred sixty-six thousand, two hundred twenty".