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233349012 = 22351359313
BaseRepresentation
bin11011110100010…
…01111110010100
3121021002100200000
431322021332110
5434214132022
635053251300
75532301551
oct1572117624
9537070600
10233349012
1110a7a0626
1266193b30
1339462750
1422dc3a28
15157456ac
hexde89f94

233349012 has 144 divisors (see below), whose sum is σ = 672060480. Its totient is φ = 70357248.

The previous prime is 233348981. The next prime is 233349019. The reversal of 233349012 is 210943332.

It is a happy number.

It is a super-2 number, since 2×2333490122 = 108903522802752288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233349019) 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, 745368 + ... + 745680.

Almost surely, 2233349012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233349012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336030240).

233349012 is an abundant number, since it is smaller than the sum of its proper divisors (438711468).

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

233349012 is a wasteful number, since it uses less digits than its factorization.

233349012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 233349012 is about 15275.7655127329. The cubic root of 233349012 is about 615.6520389646.

The spelling of 233349012 in words is "two hundred thirty-three million, three hundred forty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 59 78 81 108 117 118 156 162 177 234 236 243 313 324 351 354 468 486 531 626 702 708 767 939 972 1053 1062 1252 1404 1534 1593 1878 2106 2124 2301 2817 3068 3159 3186 3756 4069 4212 4602 4779 5634 6318 6372 6903 8138 8451 9204 9558 11268 12207 12636 13806 14337 16276 16902 18467 19116 20709 24414 25353 27612 28674 33804 36621 36934 41418 48828 50706 55401 57348 62127 73242 73868 76059 82836 101412 109863 110802 124254 146484 152118 166203 186381 219726 221604 240071 248508 304236 329589 332406 372762 439452 480142 498609 659178 664812 720213 745524 960284 988767 997218 1318356 1440426 1495827 1977534 1994436 2160639 2880852 2991654 3955068 4321278 4487481 5983308 6481917 8642556 8974962 12963834 17949924 19445751 25927668 38891502 58337253 77783004 116674506 233349012