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32233212340 = 2257319247301
BaseRepresentation
bin11110000001001111…
…111100100110110100
310002012101110211210021
4132001033330212310
51012003200243330
622450245334524
72220524533000
oct360117744664
9102171424707
1032233212340
111274089856a
1262b6a07444
133068c54914
1417bac8d700
15c89c0667a
hex7813fc9b4

32233212340 has 96 divisors (see below), whose sum is σ = 83093472000. Its totient is φ = 10469692800.

The previous prime is 32233212313. The next prime is 32233212343. The reversal of 32233212340 is 4321233223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32233212343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6690 + ... + 253990.

It is an arithmetic number, because the mean of its divisors is an integer number (865557000).

Almost surely, 232233212340 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 32233212340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41546736000).

32233212340 is an abundant number, since it is smaller than the sum of its proper divisors (50860259660).

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

32233212340 is a wasteful number, since it uses less digits than its factorization.

32233212340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247350 (or 247334 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 32233212340 its reverse (4321233223), we get a palindrome (36554445563).

The spelling of 32233212340 in words is "thirty-two billion, two hundred thirty-three million, two hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 343 380 490 532 665 686 931 980 1330 1372 1715 1862 2660 3430 3724 4655 6517 6860 9310 13034 18620 26068 32585 65170 130340 247301 494602 989204 1236505 1731107 2473010 3462214 4698719 4946020 6924428 8655535 9397438 12117749 17311070 18794876 23493595 24235498 32891033 34622140 46987190 48470996 60588745 65782066 84824243 93974380 121177490 131564132 164455165 169648486 230237231 242354980 328910330 339296972 424121215 460474462 657820660 848242430 920948924 1151186155 1611660617 1696484860 2302372310 3223321234 4604744620 6446642468 8058303085 16116606170 32233212340