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213645450 = 235273109179
BaseRepresentation
bin11001011101111…
…11100010001010
3112220000022110110
430232333202022
5414143123300
633111055150
75202646014
oct1456774212
9486008413
10213645450
11aa662a97
125b6714b6
1335354235
14205351b4
1513b52550
hexcbbf88a

213645450 has 96 divisors (see below), whose sum is σ = 545054400. Its totient is φ = 55365120.

The previous prime is 213645361. The next prime is 213645451. The reversal of 213645450 is 54546312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (213645451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193461 + ... + 1193639.

It is an arithmetic number, because the mean of its divisors is an integer number (5677650).

Almost surely, 2213645450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213645450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272527200).

213645450 is an abundant number, since it is smaller than the sum of its proper divisors (331408950).

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

213645450 is a wasteful number, since it uses less digits than its factorization.

213645450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 213645450 is about 14616.6155453306. The cubic root of 213645450 is about 597.8118911105.

It can be divided in two parts, 2136 and 45450, that added together give a triangular number (47586 = T308).

The spelling of 213645450 in words is "two hundred thirteen million, six hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 109 146 150 179 218 219 327 358 365 438 537 545 654 730 895 1074 1090 1095 1635 1790 1825 2190 2685 2725 3270 3650 4475 5370 5450 5475 7957 8175 8950 10950 13067 13425 15914 16350 19511 23871 26134 26850 39022 39201 39785 47742 58533 65335 78402 79570 97555 117066 119355 130670 195110 196005 198925 238710 292665 326675 392010 397850 487775 585330 596775 653350 975550 980025 1193550 1424303 1463325 1960050 2848606 2926650 4272909 7121515 8545818 14243030 21364545 35607575 42729090 71215150 106822725 213645450