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212825730 = 235132292383
BaseRepresentation
bin11001010111101…
…11011010000010
3112211110200000110
430223313122002
5413440410410
633041332150
75162663115
oct1453673202
9484420013
10212825730
11aa153137
125b337056
13351280b0
14203a057c
1513a3e720
hexcaf7682

212825730 has 64 divisors (see below), whose sum is σ = 552706560. Its totient is φ = 52137216.

The previous prime is 212825719. The next prime is 212825731. The reversal of 212825730 is 37528212.

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 (212825731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88119 + ... + 90501.

It is an arithmetic number, because the mean of its divisors is an integer number (8636040).

Almost surely, 2212825730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212825730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276353280).

212825730 is an abundant number, since it is smaller than the sum of its proper divisors (339880830).

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

212825730 is a wasteful number, since it uses less digits than its factorization.

212825730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 212825730 is about 14588.5479058061. The cubic root of 212825730 is about 597.0463448389.

The spelling of 212825730 in words is "two hundred twelve million, eight hundred twenty-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 229 390 458 687 1145 1374 2290 2383 2977 3435 4766 5954 6870 7149 8931 11915 14298 14885 17862 23830 29770 30979 35745 44655 61958 71490 89310 92937 154895 185874 309790 464685 545707 929370 1091414 1637121 2728535 3274242 5457070 7094191 8185605 14188382 16371210 21282573 35470955 42565146 70941910 106412865 212825730