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214996140 = 223352913729
BaseRepresentation
bin11001101000010…
…01010010101100
3112222112221021000
430310021102230
5420014334030
633200040300
75220302622
oct1464112254
9488487230
10214996140
111003a5867
1260003090
1335707c68
14207a7512
1513d1c860
hexcd094ac

214996140 has 96 divisors (see below), whose sum is σ = 691992000. Its totient is φ = 55351296.

The previous prime is 214996097. The next prime is 214996151. The reversal of 214996140 is 41699412.

It is a happy number.

214996140 is a `hidden beast` number, since 21 + 499 + 6 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 214996095 and 214996104.

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, 8796 + ... + 22524.

It is an arithmetic number, because the mean of its divisors is an integer number (7208250).

Almost surely, 2214996140 is an apocalyptic number.

214996140 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 214996140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345996000).

214996140 is an abundant number, since it is smaller than the sum of its proper divisors (476995860).

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

214996140 is a wasteful number, since it uses less digits than its factorization.

214996140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776 (or 13768 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 214996140 is about 14662.7466731169. The cubic root of 214996140 is about 599.0690563202.

It can be divided in two parts, 2149 and 96140, that added together give a palindrome (98289).

The spelling of 214996140 in words is "two hundred fourteen million, nine hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 13729 15660 27458 41187 54916 68645 82374 123561 137290 164748 205935 247122 274580 370683 398141 411870 494244 617805 741366 796282 823740 1194423 1235610 1482732 1592564 1853415 1990705 2388846 2471220 3583269 3706830 3981410 4777692 5972115 7166538 7413660 7962820 10749807 11944230 14333076 17916345 21499614 23888460 35832690 42999228 53749035 71665380 107498070 214996140