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21232012440 = 2335298117523
BaseRepresentation
bin10011110001100001…
…101100110010011000
32000210200202222121010
4103301201230302120
5321440343344230
613430455413520
71351102061622
oct236141546230
960720688533
1021232012440
119005a10221
1241466842a0
1320049ca092
141055b89c12
15843ecb9b0
hex4f186cc98

21232012440 has 128 divisors (see below), whose sum is σ = 65982470400. Its totient is φ = 5459166720.

The previous prime is 21232012409. The next prime is 21232012481. The reversal of 21232012440 is 4421023212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2818519 + ... + 2826041.

It is an arithmetic number, because the mean of its divisors is an integer number (515488050).

Almost surely, 221232012440 is an apocalyptic number.

21232012440 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 21232012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32991235200).

21232012440 is an abundant number, since it is smaller than the sum of its proper divisors (44750457960).

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

21232012440 is a wasteful number, since it uses less digits than its factorization.

21232012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8377 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 21232012440 its reverse (4421023212), we get a palindrome (25653035652).

The spelling of 21232012440 in words is "twenty-one billion, two hundred thirty-two million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 811 870 1160 1622 1740 2433 3244 3480 4055 4866 6488 7523 8110 9732 12165 15046 16220 19464 22569 23519 24330 30092 32440 37615 45138 47038 48660 60184 70557 75230 90276 94076 97320 112845 117595 141114 150460 180552 188152 218167 225690 235190 282228 300920 352785 436334 451380 470380 564456 654501 705570 872668 902760 940760 1090835 1309002 1411140 1745336 2181670 2618004 2822280 3272505 4363340 5236008 6101153 6545010 8726680 12202306 13090020 18303459 24404612 26180040 30505765 36606918 48809224 61011530 73213836 91517295 122023060 146427672 176933437 183034590 244046120 353866874 366069180 530800311 707733748 732138360 884667185 1061600622 1415467496 1769334370 2123201244 2654001555 3538668740 4246402488 5308003110 7077337480 10616006220 21232012440