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220590298240 = 2751326513257
BaseRepresentation
bin1100110101110000110…
…1001101010010000000
3210002101022120012200221
43031130031031102000
512103232104020430
6245200543352424
721636301412014
oct3153415152200
9702338505627
10220590298240
1185608522004
12369032b2714
1317a560a67c0
14a968946544
155b10e4357a
hex335c34d480

220590298240 has 64 divisors (see below), whose sum is σ = 567913986360. Its totient is φ = 81448722432.

The previous prime is 220590298223. The next prime is 220590298267. The reversal of 220590298240 is 42892095022.

It can be written as a sum of positive squares in 4 ways, for example, as 114986097216 + 105604201024 = 339096^2 + 324968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2205902982402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13248309 + ... + 13264948.

Almost surely, 2220590298240 is an apocalyptic number.

220590298240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220590298240 is an abundant number, since it is smaller than the sum of its proper divisors (347323688120).

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

220590298240 is a wasteful number, since it uses less digits than its factorization.

220590298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26513289 (or 26513277 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 220590298240 in words is "two hundred twenty billion, five hundred ninety million, two hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 26513257 53026514 106053028 132566285 212106056 265132570 344672341 424212112 530265140 689344682 848424224 1060530280 1378689364 1696848448 1723361705 2121060560 2757378728 3393696896 3446723410 4242121120 5514757456 6893446820 8484242240 11029514912 13786893640 16968484480 22059029824 27573787280 44118059648 55147574560 110295149120 220590298240