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216893430 = 233513611013
BaseRepresentation
bin11001110110110…
…00011111110110
3120010010022212000
430323120133312
5421011042210
633304440130
75242364235
oct1473303766
9503108760
10216893430
11101481276
1260779046
1335c20710
1420b3cb1c
1514094ac0
hexced87f6

216893430 has 128 divisors (see below), whose sum is σ = 633709440. Its totient is φ = 52462080.

The previous prime is 216893399. The next prime is 216893513. The reversal of 216893430 is 34398612.

216893430 is a `hidden beast` number, since 216 + 8 + 9 + 3 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213604 + ... + 214616.

It is an arithmetic number, because the mean of its divisors is an integer number (4950855).

Almost surely, 2216893430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216893430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316854720).

216893430 is an abundant number, since it is smaller than the sum of its proper divisors (416816010).

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

216893430 is a wasteful number, since it uses less digits than its factorization.

216893430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 216893430 is about 14727.3021969402. The cubic root of 216893430 is about 600.8261120428.

The spelling of 216893430 in words is "two hundred sixteen million, eight hundred ninety-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 61 65 78 90 117 122 130 135 183 195 234 270 305 351 366 390 549 585 610 702 793 915 1013 1098 1170 1586 1647 1755 1830 2026 2379 2745 3039 3294 3510 3965 4758 5065 5490 6078 7137 7930 8235 9117 10130 11895 13169 14274 15195 16470 18234 21411 23790 26338 27351 30390 35685 39507 42822 45585 54702 61793 65845 71370 79014 91170 107055 118521 123586 131690 136755 185379 197535 214110 237042 273510 308965 355563 370758 395070 556137 592605 617930 711126 803309 926895 1112274 1185210 1606618 1668411 1777815 1853790 2409927 2780685 3336822 3555630 4016545 4819854 5561370 7229781 8033090 8342055 12049635 14459562 16684110 21689343 24099270 36148905 43378686 72297810 108446715 216893430