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22013333430 = 23511318212621
BaseRepresentation
bin10100100000000110…
…001100111110110110
32002211010222012111120
4110200012030332312
5330040403132210
614040210044410
71406340150444
oct244006147666
962733865446
1022013333430
119376a53250
124324279706
1320ca83cbaa
1410cb851b94
1588c8b4270
hex52018cfb6

22013333430 has 128 divisors (see below), whose sum is σ = 59589292032. Its totient is φ = 5156160000.

The previous prime is 22013333423. The next prime is 22013333431. The reversal of 22013333430 is 3433331022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22013333430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013333431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8397520 + ... + 8400140.

It is an arithmetic number, because the mean of its divisors is an integer number (465541344).

Almost surely, 222013333430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013333430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29794646016).

22013333430 is an abundant number, since it is smaller than the sum of its proper divisors (37575958602).

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

22013333430 is a wasteful number, since it uses less digits than its factorization.

22013333430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 22013333430 its reverse (3433331022), we get a palindrome (25446664452).

The spelling of 22013333430 in words is "twenty-two billion, thirteen million, three hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 821 930 1023 1642 1705 2046 2463 2621 3410 4105 4926 5115 5242 7863 8210 9031 10230 12315 13105 15726 18062 24630 25451 26210 27093 28831 39315 45155 50902 54186 57662 76353 78630 81251 86493 90310 127255 135465 144155 152706 162502 172986 243753 254510 270930 279961 288310 381765 406255 432465 487506 559922 763530 812510 839883 864930 893761 1218765 1399805 1679766 1787522 2151841 2437530 2681283 2799610 4199415 4303682 4468805 5362566 6455523 8398830 8937610 10759205 12911046 13406415 21518410 23670251 26812830 32277615 47340502 64555230 66707071 71010753 118351255 133414142 142021506 200121213 236702510 333535355 355053765 400242426 667070710 710107530 733777781 1000606065 1467555562 2001212130 2201333343 3668888905 4402666686 7337777810 11006666715 22013333430