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233424351132 = 22372478779631
BaseRepresentation
bin1101100101100100101…
…1001110111110011100
3211022111202002122112020
43121121023032332130
512311023113214012
6255122245540140
722602321150600
oct3313113167634
9738452078466
10233424351132
118aaa3a62995
12392a5414650
131901cc84b3b
14b425235500
156112a15a8c
hex36592cef9c

233424351132 has 144 divisors (see below), whose sum is σ = 647865888768. Its totient is φ = 65192480640.

The previous prime is 233424351131. The next prime is 233424351151. The reversal of 233424351132 is 231153424332.

It is a junction number, because it is equal to n+sod(n) for n = 233424351093 and 233424351102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233424351131) 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, 24231957 + ... + 24241587.

It is an arithmetic number, because the mean of its divisors is an integer number (4499068672).

Almost surely, 2233424351132 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 233424351132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323932944384).

233424351132 is an abundant number, since it is smaller than the sum of its proper divisors (414441537636).

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

233424351132 is a wasteful number, since it uses less digits than its factorization.

233424351132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10576 (or 10567 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

Adding to 233424351132 its reverse (231153424332), we get a palindrome (464577775464).

The spelling of 233424351132 in words is "two hundred thirty-three billion, four hundred twenty-four million, three hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 282 294 329 564 588 658 877 987 1316 1754 1974 2303 2631 3508 3948 4606 5262 6139 6909 9212 9631 10524 12278 13818 18417 19262 24556 27636 28893 36834 38524 41219 42973 57786 67417 73668 82438 85946 115572 123657 128919 134834 164876 171892 202251 247314 257838 269668 288533 404502 452657 471919 494628 515676 577066 809004 865599 905314 943838 1154132 1357971 1415757 1731198 1810628 1887676 2019731 2715942 2831514 3168599 3462396 4039462 5431884 5663028 6059193 6337198 8078924 8446387 9505797 12118386 12674396 16892774 19011594 22180193 24236772 25339161 33785548 38023188 44360386 50678322 59124709 66540579 88720772 101356644 118249418 133081158 177374127 236498836 266162316 354748254 396980189 413872963 709496508 793960378 827745926 1190940567 1241618889 1587920756 1655491852 2381881134 2483237778 2778861323 4763762268 4966475556 5557722646 8336583969 11115445292 16673167938 19452029261 33346335876 38904058522 58356087783 77808117044 116712175566 233424351132