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45680220 = 22335292917
BaseRepresentation
bin1010111001000…
…0011001011100
310011221210111000
42232100121130
543143231340
64311030300
71063163325
oct256203134
9104853430
1045680220
1123870253
121336b390
139605121
1460d144c
154024d30
hex2b9065c

45680220 has 96 divisors (see below), whose sum is σ = 147067200. Its totient is φ = 11757312.

The previous prime is 45680213. The next prime is 45680221. The reversal of 45680220 is 2208654.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45680221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14202 + ... + 17118.

It is an arithmetic number, because the mean of its divisors is an integer number (1531950).

Almost surely, 245680220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45680220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73533600).

45680220 is an abundant number, since it is smaller than the sum of its proper divisors (101386980).

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

45680220 is a wasteful number, since it uses less digits than its factorization.

45680220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45680220 is about 6758.7143747905. The cubic root of 45680220 is about 357.4725752024.

Adding to 45680220 its reverse (2208654), we get a palindrome (47888874).

The spelling of 45680220 in words is "forty-five million, six hundred eighty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 2917 3132 3915 5220 5834 7830 8751 11668 14585 15660 17502 26253 29170 35004 43755 52506 58340 78759 84593 87510 105012 131265 157518 169186 175020 253779 262530 315036 338372 393795 422965 507558 525060 761337 787590 845930 1015116 1268895 1522674 1575180 1691860 2284011 2537790 3045348 3806685 4568022 5075580 7613370 9136044 11420055 15226740 22840110 45680220