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10232330240 = 21151190841
BaseRepresentation
bin10011000011110010…
…01111100000000000
3222102002221020022002
421201321033200000
5131423434031430
64411202203132
7511365241406
oct114171174000
928362836262
1010232330240
11438097a180
121b969534a8
13c70b842a2
146d0d5d476
153ed4a1845
hex261e4f800

10232330240 has 96 divisors (see below), whose sum is σ = 26783855280. Its totient is φ = 3720806400.

The previous prime is 10232330231. The next prime is 10232330257. The reversal of 10232330240 is 4203323201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67220 + ... + 158060.

Almost surely, 210232330240 is an apocalyptic number.

10232330240 is a gapful number since it is divisible by the number (10) 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 10232330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13391927640).

10232330240 is an abundant number, since it is smaller than the sum of its proper divisors (16551525040).

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

10232330240 is an equidigital number, since it uses as much as digits as its factorization.

10232330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90879 (or 90859 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10232330240 its reverse (4203323201), we get a palindrome (14435653441).

The spelling of 10232330240 in words is "ten billion, two hundred thirty-two million, three hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 5120 5632 7040 10240 11264 14080 22528 28160 56320 90841 112640 181682 363364 454205 726728 908410 999251 1453456 1816820 1998502 2906912 3633640 3997004 4996255 5813824 7267280 7994008 9992510 11627648 14534560 15988016 19985020 23255296 29069120 31976032 39970040 46510592 58138240 63952064 79940080 93021184 116276480 127904128 159880160 186042368 232552960 255808256 319760320 465105920 511616512 639520640 930211840 1023233024 1279041280 2046466048 2558082560 5116165120 10232330240