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10222041330 = 23251011636899
BaseRepresentation
bin10011000010100011…
…11111100011110010
3222101101120111120100
421201101333203302
5131413320310310
64410153453230
7511211626524
oct114121774362
928341514510
1010222041330
114376091a46
121b93411216
13c6b9c1087
146cd841a14
153ec61cec0
hex26147f8f2

10222041330 has 96 divisors (see below), whose sum is σ = 27009028800. Its totient is φ = 2681942400.

The previous prime is 10222041301. The next prime is 10222041341. The reversal of 10222041330 is 3314022201.

10222041330 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 413 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478221 + ... + 1485119.

It is an arithmetic number, because the mean of its divisors is an integer number (281344050).

Almost surely, 210222041330 is an apocalyptic number.

10222041330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222041330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13504514400).

10222041330 is an abundant number, since it is smaller than the sum of its proper divisors (16786987470).

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

10222041330 is a wasteful number, since it uses less digits than its factorization.

10222041330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7176 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222041330 its reverse (3314022201), we get a palindrome (13536063531).

The spelling of 10222041330 in words is "ten billion, two hundred twenty-two million, forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 163 202 303 326 489 505 606 815 909 978 1010 1467 1515 1630 1818 2445 2934 3030 4545 4890 6899 7335 9090 13798 14670 16463 20697 32926 34495 41394 49389 62091 68990 82315 98778 103485 124182 148167 164630 206970 246945 296334 310455 493890 620910 696799 740835 1124537 1393598 1481670 2090397 2249074 3373611 3483995 4180794 5622685 6271191 6747222 6967990 10120833 10451985 11245370 12542382 16868055 20241666 20903970 31355955 33736110 50604165 62711910 101208330 113578237 227156474 340734711 567891185 681469422 1022204133 1135782370 1703673555 2044408266 3407347110 5111020665 10222041330