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1664224560 = 2432510322441
BaseRepresentation
bin110001100110010…
…0000110100110000
311021222112100220200
41203030200310300
511402020141220
6433050035200
756145450435
oct14314406460
94258470820
101664224560
117844585a9
123a5418b00
13206a3187b
1411b051b8c
159b188890
hex63320d30

1664224560 has 120 divisors (see below), whose sum is σ = 5643534624. Its totient is φ = 439464960.

The previous prime is 1664224543. The next prime is 1664224561. The reversal of 1664224560 is 654224661.

1664224560 is a `hidden beast` number, since 1 + 6 + 642 + 2 + 4 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×16642245602 = 5539286772214387200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1664224561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62940 + ... + 85380.

Almost surely, 21664224560 is an apocalyptic number.

1664224560 is a gapful number since it is divisible by the number (10) 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 1664224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821767312).

1664224560 is an abundant number, since it is smaller than the sum of its proper divisors (3979310064).

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

1664224560 is a wasteful number, since it uses less digits than its factorization.

1664224560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22563 (or 22554 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1664224560 is about 40794.9085058418. The cubic root of 1664224560 is about 1185.0517309041.

The spelling of 1664224560 in words is "one billion, six hundred sixty-four million, two hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 144 180 206 240 309 360 412 515 618 720 824 927 1030 1236 1545 1648 1854 2060 2472 3090 3708 4120 4635 4944 6180 7416 8240 9270 12360 14832 18540 22441 24720 37080 44882 67323 74160 89764 112205 134646 179528 201969 224410 269292 336615 359056 403938 448820 538584 673230 807876 897640 1009845 1077168 1346460 1615752 1795280 2019690 2311423 2692920 3231504 4039380 4622846 5385840 6934269 8078760 9245692 11557115 13868538 16157520 18491384 20802807 23114230 27737076 34671345 36982768 41605614 46228460 55474152 69342690 83211228 92456920 104014035 110948304 138685380 166422456 184913840 208028070 277370760 332844912 416056140 554741520 832112280 1664224560