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114213300 = 223523112281
BaseRepresentation
bin1101100111011…
…00000110110100
321221220122012020
412303230012310
5213214311200
615155553140
72554540245
oct663540664
9257818166
10114213300
115951a163
12322bb7b0
131a87c046
1411250ccc
15a060ea0
hex6cec1b4

114213300 has 72 divisors (see below), whose sum is σ = 341144832. Its totient is φ = 29472000.

The previous prime is 114213299. The next prime is 114213367. The reversal of 114213300 is 3312411.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114213300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3160 + ... + 15440.

Almost surely, 2114213300 is an apocalyptic number.

114213300 is a gapful number since it is divisible by the number (10) 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 114213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170572416).

114213300 is an abundant number, since it is smaller than the sum of its proper divisors (226931532).

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

114213300 is a wasteful number, since it uses less digits than its factorization.

114213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12329 (or 12322 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 114213300 is about 10687.0622717377. The cubic root of 114213300 is about 485.1829826430.

Adding to 114213300 its reverse (3312411), we get a palindrome (117525711).

The spelling of 114213300 in words is "one hundred fourteen million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 12281 24562 36843 49124 61405 73686 122810 147372 184215 245620 307025 368430 380711 614050 736860 761422 921075 1142133 1228100 1522844 1842150 1903555 2284266 3684300 3807110 4568532 5710665 7614220 9517775 11421330 19035550 22842660 28553325 38071100 57106650 114213300