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214250010 = 235134113399
BaseRepresentation
bin11001100010100…
…11001000011010
3112221011000202120
430301103020122
5414322000020
633132042110
75211044412
oct1461231032
9487130676
10214250010
11aaa36227
125b903336
1335506470
1420651642
1513c21740
hexcc5321a

214250010 has 64 divisors (see below), whose sum is σ = 567302400. Its totient is φ = 51448320.

The previous prime is 214249949. The next prime is 214250041. The reversal of 214250010 is 10052412.

214250010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 9291 + ... + 22689.

It is an arithmetic number, because the mean of its divisors is an integer number (8864100).

Almost surely, 2214250010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214250010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283651200).

214250010 is an abundant number, since it is smaller than the sum of its proper divisors (353052390).

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

214250010 is a wasteful number, since it uses less digits than its factorization.

214250010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13463.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 214250010 is about 14637.2815098979. The cubic root of 214250010 is about 598.3752431355.

The spelling of 214250010 in words is "two hundred fourteen million, two hundred fifty thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 1066 1230 1599 2665 3198 5330 7995 13399 15990 26798 40197 66995 80394 133990 174187 200985 348374 401970 522561 549359 870935 1045122 1098718 1648077 1741870 2612805 2746795 3296154 5225610 5493590 7141667 8240385 14283334 16480770 21425001 35708335 42850002 71416670 107125005 214250010