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84299220 = 223252691741
BaseRepresentation
bin1010000011001…
…00110111010100
312212121211210100
411001210313110
5133040033340
612210454100
72042350215
oct501446724
9185554710
1084299220
1143648285
1224294330
13146071c5
14b2a540c
157602830
hex5064dd4

84299220 has 72 divisors (see below), whose sum is σ = 256805640. Its totient is φ = 22383360.

The previous prime is 84299207. The next prime is 84299227. The reversal of 84299220 is 2299248.

84299220 is a `hidden beast` number, since 8 + 429 + 9 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8191044 + 76108176 = 2862^2 + 8724^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84299227) 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, 47550 + ... + 49290.

It is an arithmetic number, because the mean of its divisors is an integer number (3566745).

Almost surely, 284299220 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 84299220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128402820).

84299220 is an abundant number, since it is smaller than the sum of its proper divisors (172506420).

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

84299220 is a wasteful number, since it uses less digits than its factorization.

84299220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 84299220 is about 9181.4606681072. The cubic root of 84299220 is about 438.4713135117.

The spelling of 84299220 in words is "eighty-four million, two hundred ninety-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 1076 1345 1614 1741 2421 2690 3228 3482 4035 4842 5223 5380 6964 8070 8705 9684 10446 12105 15669 16140 17410 20892 24210 26115 31338 34820 48420 52230 62676 78345 104460 156690 313380 468329 936658 1404987 1873316 2341645 2809974 4214961 4683290 5619948 7024935 8429922 9366580 14049870 16859844 21074805 28099740 42149610 84299220