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233207420 = 225314753151
BaseRepresentation
bin11011110011001…
…11011001111100
3121020211011102212
431321213121330
5434200114140
635050235552
75531142005
oct1571473174
9536734385
10233207420
1110a704206
1266125bb8
1339413174
1422d881ac
1515718765
hexde6767c

233207420 has 96 divisors (see below), whose sum is σ = 529514496. Its totient is φ = 86112000.

The previous prime is 233207297. The next prime is 233207423. The reversal of 233207420 is 24702332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233207423) 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, 1544345 + ... + 1544495.

It is an arithmetic number, because the mean of its divisors is an integer number (5515776).

Almost surely, 2233207420 is an apocalyptic number.

233207420 is a gapful number since it is divisible by the number (20) 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 233207420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264757248).

233207420 is an abundant number, since it is smaller than the sum of its proper divisors (296307076).

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

233207420 is a wasteful number, since it uses less digits than its factorization.

233207420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 233207420 is about 15271.1302790592. The cubic root of 233207420 is about 615.5274915609.

Adding to 233207420 its reverse (24702332), we get a palindrome (257909752).

The spelling of 233207420 in words is "two hundred thirty-three million, two hundred seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 47 53 62 94 106 124 151 155 188 212 235 265 302 310 470 530 604 620 755 940 1060 1457 1510 1643 2491 2914 3020 3286 4681 4982 5828 6572 7097 7285 8003 8215 9362 9964 12455 14194 14570 16006 16430 18724 23405 24910 28388 29140 32012 32860 35485 40015 46810 49820 70970 77221 80030 93620 141940 154442 160060 220007 248093 308884 376141 386105 440014 496186 752282 772210 880028 992372 1100035 1240465 1504564 1544420 1880705 2200070 2480930 3761410 4400140 4961860 7522820 11660371 23320742 46641484 58301855 116603710 233207420