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22260402420 = 223513912492137
BaseRepresentation
bin10100101110110100…
…101100100011110100
32010110100212121102220
4110232310230203310
5331042130334140
614120513402340
71415430204264
oct245664544364
963410777386
1022260402420
1194934648a3
124392b693b0
132139a97469
1411125a77a4
158a4419bd0
hex52ed2c8f4

22260402420 has 96 divisors (see below), whose sum is σ = 62857200000. Its totient is φ = 5885927424.

The previous prime is 22260402419. The next prime is 22260402443. The reversal of 22260402420 is 2420406222.

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, 10415592 + ... + 10417728.

It is an arithmetic number, because the mean of its divisors is an integer number (654762500).

Almost surely, 222260402420 is an apocalyptic number.

22260402420 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 22260402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31428600000).

22260402420 is an abundant number, since it is smaller than the sum of its proper divisors (40596797580).

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

22260402420 is a wasteful number, since it uses less digits than its factorization.

22260402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22260402420 its reverse (2420406222), we get a palindrome (24680808642).

The spelling of 22260402420 in words is "twenty-two billion, two hundred sixty million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1249 1390 1668 2085 2137 2498 2780 3747 4170 4274 4996 6245 6411 7494 8340 8548 10685 12490 12822 14988 18735 21370 24980 25644 32055 37470 42740 64110 74940 128220 173611 297043 347222 520833 594086 694444 868055 891129 1041666 1188172 1485215 1736110 1782258 2083332 2604165 2669113 2970430 3472220 3564516 4455645 5208330 5338226 5940860 8007339 8911290 10416660 10676452 13345565 16014678 17822580 26691130 32029356 40036695 53382260 80073390 160146780 371006707 742013414 1113020121 1484026828 1855033535 2226040242 3710067070 4452080484 5565100605 7420134140 11130201210 22260402420