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23221334140 = 22529533172383
BaseRepresentation
bin10101101000000110…
…010111000001111100
32012221100000222221121
4111220012113001330
5340024130143030
614400121440324
71451306040424
oct255006270174
965840028847
1023221334140
119936924044
1246009400a4
132260ba5c04
1411a4065484
1590d98047a
hex56819707c

23221334140 has 96 divisors (see below), whose sum is σ = 51581940480. Its totient is φ = 8767589376.

The previous prime is 23221334137. The next prime is 23221334141. The reversal of 23221334140 is 4143312232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23221334141) 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, 9743389 + ... + 9745771.

It is an arithmetic number, because the mean of its divisors is an integer number (537311880).

Almost surely, 223221334140 is an apocalyptic number.

23221334140 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 23221334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25790970240).

23221334140 is an abundant number, since it is smaller than the sum of its proper divisors (28360606340).

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

23221334140 is a wasteful number, since it uses less digits than its factorization.

23221334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 23221334140 its reverse (4143312232), we get a palindrome (27364646372).

The spelling of 23221334140 in words is "twenty-three billion, two hundred twenty-one million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 317 530 580 634 1060 1268 1537 1585 2383 3074 3170 4766 6148 6340 7685 9193 9532 11915 15370 16801 18386 23830 30740 33602 36772 45965 47660 67204 69107 84005 91930 126299 138214 168010 183860 252598 276428 336020 345535 487229 505196 631495 691070 755411 974458 1262990 1382140 1510822 1948916 2436145 2525980 3021644 3662671 3777055 4872290 7325342 7554110 9744580 14650684 15108220 18313355 21906919 36626710 40036783 43813838 73253420 80073566 87627676 109534595 160147132 200183915 219069190 400367830 438138380 800735660 1161066707 2322133414 4644266828 5805333535 11610667070 23221334140