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214489080 = 233351315277
BaseRepresentation
bin11001100100011…
…01011111111000
3112221121011201000
430302031133320
5414402122310
633141125000
75213061411
oct1462153770
9487534630
10214489080
11100089903
125b9b9760
133558b220
14206b4808
1513c6c4c0
hexcc8d7f8

214489080 has 128 divisors (see below), whose sum is σ = 770011200. Its totient is φ = 52793856.

The previous prime is 214489073. The next prime is 214489109. The reversal of 214489080 is 80984412.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6402 + ... + 21678.

Almost surely, 2214489080 is an apocalyptic number.

214489080 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 214489080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385005600).

214489080 is an abundant number, since it is smaller than the sum of its proper divisors (555522120).

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

214489080 is a wasteful number, since it uses less digits than its factorization.

214489080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15310 (or 15300 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 214489080 is about 14645.4457084788. The cubic root of 214489080 is about 598.5977252624.

The spelling of 214489080 in words is "two hundred fourteen million, four hundred eighty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 15277 30554 45831 61108 76385 91662 122216 137493 152770 183324 198601 229155 274986 305540 366648 397202 412479 458310 549972 595803 611080 687465 794404 824958 916620 993005 1099944 1191606 1374930 1588808 1649916 1787409 1833240 1986010 2062395 2383212 2749860 2979015 3299832 3574818 3972020 4124790 4766424 5362227 5499720 5958030 7149636 7944040 8249580 8937045 10724454 11916060 14299272 16499160 17874090 21448908 23832120 26811135 35748180 42897816 53622270 71496360 107244540 214489080