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10202242232 = 23713171276491
BaseRepresentation
bin10011000000001100…
…11101110010111000
3222100000022121022102
421200012131302320
5131343233222412
64404205242532
7510551425310
oct114006356270
928300277272
1010202242232
114365999656
121b88863448
13c6787b230
146cad6a440
153eaa0b8c2
hex26019dcb8

10202242232 has 128 divisors (see below), whose sum is σ = 25128714240. Its totient is φ = 3768145920.

The previous prime is 10202242231. The next prime is 10202242289. The reversal of 10202242232 is 23224220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202242231) 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, 1568507 + ... + 1574997.

It is an arithmetic number, because the mean of its divisors is an integer number (196318080).

Almost surely, 210202242232 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 10202242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12564357120).

10202242232 is an abundant number, since it is smaller than the sum of its proper divisors (14926472008).

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

10202242232 is a wasteful number, since it uses less digits than its factorization.

10202242232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10202242232 its reverse (23224220201), we get a palindrome (33426462433).

The spelling of 10202242232 in words is "ten billion, two hundred two million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 127 136 182 221 238 254 364 442 476 508 728 884 889 952 1016 1547 1651 1768 1778 2159 3094 3302 3556 4318 6188 6491 6604 7112 8636 11557 12376 12982 13208 15113 17272 23114 25964 28067 30226 45437 46228 51928 56134 60452 84383 90874 92456 110347 112268 120904 168766 181748 196469 220694 224536 337532 363496 392938 441388 590681 675064 772429 785876 824357 882776 1181362 1434511 1544858 1571752 1648714 2362724 2869022 3089716 3297428 4725448 5738044 5770499 6179432 6594856 10041577 10716641 11476088 11540998 14014069 20083154 21433282 23081996 28028138 40166308 42866564 46163992 56056276 75016487 80332616 85733128 98098483 112112552 150032974 182182897 196196966 300065948 364365794 392393932 600131896 728731588 784787864 1275280279 1457463176 2550560558 5101121116 10202242232