Search a number
-
+
219630947904 = 26342322832
BaseRepresentation
bin1100110010001100000…
…1100100111001000000
3202222220110101011110000
43030203001210321000
512044301010313104
6244521433240000
721603442153164
oct3144301447100
9688813334400
10219630947904
1185165a42995
1236695b63000
13179323cca94
14a8b737aca4
155aa6ae1639
hex3323064e40

219630947904 has 315 divisors, whose sum is σ = 683005815723. Its totient is φ = 69779812608.

The previous prime is 219630947827. The next prime is 219630947929. The reversal of 219630947904 is 409749036912.

The square root of 219630947904 is 468648.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 776080947 + ... + 776081229.

Almost surely, 2219630947904 is an apocalyptic number.

219630947904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

219630947904 is the 468648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219630947904

219630947904 is an abundant number, since it is smaller than the sum of its proper divisors (463374867819).

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

219630947904 is an frugal number, since it uses more digits than its factorization.

219630947904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 219630947904 in words is "two hundred nineteen billion, six hundred thirty million, nine hundred forty-seven thousand, nine hundred four".