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220871802144 = 25371011132507
BaseRepresentation
bin1100110110110011111…
…1000011110100100000
3210010002221021002110110
43031230333003310200
512104321140132034
6245244521131320
721646260225060
oct3155477036440
9703087232413
10220871802144
1185742413064
1236981629b40
1317a9c4c9866
14a9940a33a0
155b2a9ebde9
hex336cfc3d20

220871802144 has 96 divisors (see below), whose sum is σ = 662701326336. Its totient is φ = 63098046720.

The previous prime is 220871802101. The next prime is 220871802191. The reversal of 220871802144 is 441208178022.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6778339 + ... + 6810845.

It is an arithmetic number, because the mean of its divisors is an integer number (6903138816).

Almost surely, 2220871802144 is an apocalyptic number.

220871802144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220871802144 is an abundant number, since it is smaller than the sum of its proper divisors (441829524192).

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

220871802144 is a wasteful number, since it uses less digits than its factorization.

220871802144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42638 (or 42630 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The spelling of 220871802144 in words is "two hundred twenty billion, eight hundred seventy-one million, eight hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 10111 20222 30333 32507 40444 60666 65014 70777 80888 97521 121332 130028 141554 161776 195042 212331 227549 242664 260056 283108 323552 390084 424662 455098 485328 520112 566216 682647 780168 849324 910196 970656 1040224 1132432 1365294 1560336 1698648 1820392 2264864 2730588 3120672 3397296 3640784 5461176 6794592 7281568 10922352 21844704 328678277 657356554 986034831 1314713108 1972069662 2300747939 2629426216 3944139324 4601495878 5258852432 6902243817 7888278648 9202991756 10517704864 13804487634 15776557296 18405983512 27608975268 31553114592 36811967024 55217950536 73623934048 110435901072 220871802144