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233214630 = 23511769919
BaseRepresentation
bin11011110011010…
…01001010100110
3121020211112022220
431321221022212
5434200332010
635050333210
75531202015
oct1571511246
9536745286
10233214630
1110a709670
126612a206
133941652c
1422d8aa7c
151571a970
hexde692a6

233214630 has 64 divisors (see below), whose sum is σ = 612057600. Its totient is φ = 56401920.

The previous prime is 233214613. The next prime is 233214637. The reversal of 233214630 is 36412332.

It is a self number, because there is not a number n which added to its sum of digits gives 233214630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233214637) 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, 253311 + ... + 254229.

It is an arithmetic number, because the mean of its divisors is an integer number (9563400).

Almost surely, 2233214630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233214630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306028800).

233214630 is an abundant number, since it is smaller than the sum of its proper divisors (378842970).

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

233214630 is a wasteful number, since it uses less digits than its factorization.

233214630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709.

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 233214630 is about 15271.3663435856. The cubic root of 233214630 is about 615.5338348518.

Adding to 233214630 its reverse (36412332), we get a palindrome (269626962).

The spelling of 233214630 in words is "two hundred thirty-three million, two hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 769 919 1538 1838 2307 2757 3845 4595 4614 5514 7690 8459 9190 10109 11535 13785 16918 20218 23070 25377 27570 30327 42295 50545 50754 60654 84590 101090 126885 151635 253770 303270 706711 1413422 2120133 3533555 4240266 7067110 7773821 10600665 15547642 21201330 23321463 38869105 46642926 77738210 116607315 233214630