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217094420 = 225171913343
BaseRepresentation
bin11001111000010…
…01100100010100
3120010111112120002
430330021210110
5421034010140
633313030432
75244162224
oct1474114424
9503445502
10217094420
111015a9284
1260855418
1335c9104a
1420b92084
15140d4415
hexcf09914

217094420 has 48 divisors (see below), whose sum is σ = 485388288. Its totient is φ = 81277440.

The previous prime is 217094411. The next prime is 217094431. The reversal of 217094420 is 24490712.

It is a congruent number.

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, 63269 + ... + 66611.

It is an arithmetic number, because the mean of its divisors is an integer number (10112256).

Almost surely, 2217094420 is an apocalyptic number.

217094420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217094420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242694144).

217094420 is an abundant number, since it is smaller than the sum of its proper divisors (268293868).

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

217094420 is a wasteful number, since it uses less digits than its factorization.

217094420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 217094420 is about 14734.1243377406. The cubic root of 217094420 is about 601.0116451832.

The spelling of 217094420 in words is "two hundred seventeen million, ninety-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 191 340 382 764 955 1910 3247 3343 3820 6494 6686 12988 13372 16235 16715 32470 33430 56831 64940 66860 113662 227324 284155 568310 638513 1136620 1277026 2554052 3192565 6385130 10854721 12770260 21709442 43418884 54273605 108547210 217094420