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450670220 = 2257111322511
BaseRepresentation
bin11010110111001…
…010111010001100
31011102000102022122
4122313022322030
51410332421340
6112415232112
714111430230
oct3267127214
91142012278
10450670220
11211434230
12106b18638
13724a2a90
1443bd45c0
1529871db5
hex1adcae8c

450670220 has 96 divisors (see below), whose sum is σ = 1270757376. Its totient is φ = 129657600.

The previous prime is 450670193. The next prime is 450670277. The reversal of 450670220 is 22076054.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 450670220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8765 + ... + 31275.

It is an arithmetic number, because the mean of its divisors is an integer number (13237056).

Almost surely, 2450670220 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 450670220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635378688).

450670220 is an abundant number, since it is smaller than the sum of its proper divisors (820087156).

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

450670220 is a wasteful number, since it uses less digits than its factorization.

450670220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22551 (or 22549 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 450670220 is about 21228.9947948555. The cubic root of 450670220 is about 766.6896850892.

The spelling of 450670220 in words is "four hundred fifty million, six hundred seventy thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 22511 45022 90044 112555 157577 225110 247621 292643 315154 450220 495242 585286 630308 787885 990484 1170572 1238105 1463215 1575770 1733347 2048501 2476210 2926430 3151540 3219073 3466694 4097002 4952420 5852860 6438146 6933388 8194004 8666735 10242505 12876292 16095365 17333470 20485010 22533511 32190730 34666940 40970020 45067022 64381460 90134044 112667555 225335110 450670220