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213232424240 = 24511234636361
BaseRepresentation
bin1100011010010110100…
…1001001010100110000
3202101101112102111002002
43012211221021110300
511443200000033430
6241542502513132
721256045462223
oct3064551112460
9671345374062
10213232424240
1182482165400
12353ab1357a8
13171528bb6c4
14a46b66d5ba
15582eed7845
hex31a5a49530

213232424240 has 120 divisors (see below), whose sum is σ = 545175252384. Its totient is φ = 77504486400.

The previous prime is 213232424231. The next prime is 213232424267. The reversal of 213232424240 is 42424232312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33518660 + ... + 33525020.

Almost surely, 2213232424240 is an apocalyptic number.

213232424240 is a gapful number since it is divisible by the number (20) 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 213232424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272587626192).

213232424240 is an abundant number, since it is smaller than the sum of its proper divisors (331942828144).

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

213232424240 is a wasteful number, since it uses less digits than its factorization.

213232424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9859 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 213232424240 its reverse (42424232312), we get a palindrome (255656656552).

The spelling of 213232424240 in words is "two hundred thirteen billion, two hundred thirty-two million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 3463 4840 6361 6926 9680 12722 13852 17315 25444 27704 31805 34630 38093 50888 55408 63610 69260 69971 76186 101776 127220 138520 139942 152372 190465 254440 277040 279884 304744 349855 380930 419023 508880 559768 609488 699710 761860 769681 838046 1119536 1399420 1523720 1539362 1676092 2095115 2798840 3047440 3078724 3352184 3848405 4190230 5597680 6157448 6704368 7696810 8380460 12314896 15393620 16760920 22028143 30787240 33521840 44056286 61574480 88112572 110140715 176225144 220281430 242309573 352450288 440562860 484619146 881125720 969238292 1211547865 1762251440 1938476584 2423095730 2665405303 3876953168 4846191460 5330810606 9692382920 10661621212 13327026515 19384765840 21323242424 26654053030 42646484848 53308106060 106616212120 213232424240