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216141450 = 2352734201
BaseRepresentation
bin11001110001000…
…00111010001010
3120001201010022220
430320200322022
5420313011300
633240354510
75233113000
oct1470407212
9501633286
10216141450
111010082a8
1260475a36
1335a19365
14209c4a70
1513e96da0
hexce20e8a

216141450 has 96 divisors (see below), whose sum is σ = 625257600. Its totient is φ = 49392000.

The previous prime is 216141449. The next prime is 216141461. The reversal of 216141450 is 54141612.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216141450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49350 + ... + 53550.

It is an arithmetic number, because the mean of its divisors is an integer number (6513100).

Almost surely, 2216141450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216141450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312628800).

216141450 is an abundant number, since it is smaller than the sum of its proper divisors (409116150).

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

216141450 is a wasteful number, since it uses less digits than its factorization.

216141450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 216141450 is about 14701.7498958457. The cubic root of 216141450 is about 600.1309436431.

The spelling of 216141450 in words is "two hundred sixteen million, one hundred forty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 343 350 490 525 686 735 1029 1050 1225 1470 1715 2058 2450 3430 3675 4201 5145 7350 8402 8575 10290 12603 17150 21005 25206 25725 29407 42010 51450 58814 63015 88221 105025 126030 147035 176442 205849 210050 294070 315075 411698 441105 617547 630150 735175 882210 1029245 1235094 1440943 1470350 2058490 2205525 2881886 3087735 4322829 4411050 5146225 6175470 7204715 8645658 10292450 14409430 15438675 21614145 30877350 36023575 43228290 72047150 108070725 216141450