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22242421410 = 23511175996619
BaseRepresentation
bin10100101101110000…
…000110101010100010
32010102010001002010120
4110231300012222202
5331023024441120
614115032141110
71415121314436
oct245560065242
963363032116
1022242421410
1194842a3460
124388b37796
132136140001
1411100469c6
158a2a67140
hex52dc06aa2

22242421410 has 128 divisors (see below), whose sum is σ = 61772544000. Its totient is φ = 5065681920.

The previous prime is 22242421373. The next prime is 22242421429. The reversal of 22242421410 is 1412424222.

It is a happy number.

22242421410 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3357081 + ... + 3363699.

It is an arithmetic number, because the mean of its divisors is an integer number (482598000).

Almost surely, 222242421410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242421410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30886272000).

22242421410 is an abundant number, since it is smaller than the sum of its proper divisors (39530122590).

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

22242421410 is a wasteful number, since it uses less digits than its factorization.

22242421410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7256.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22242421410 its reverse (1412424222), we get a palindrome (23654845632).

The spelling of 22242421410 in words is "twenty-two billion, two hundred forty-two million, four hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 599 935 1122 1198 1797 1870 2805 2995 3594 5610 5990 6589 6619 8985 10183 13178 13238 17970 19767 19857 20366 30549 32945 33095 39534 39714 50915 61098 65890 66190 72809 98835 99285 101830 112013 112523 145618 152745 197670 198570 218427 224026 225046 305490 336039 337569 364045 436854 560065 562615 672078 675138 728090 1092135 1120130 1125230 1237753 1680195 1687845 2184270 2475506 3360390 3375690 3713259 3964781 6188765 7426518 7929562 11894343 12377530 18566295 19823905 23788686 37132590 39647810 43612591 59471715 67401277 87225182 118943430 130837773 134802554 202203831 218062955 261675546 337006385 404407662 436125910 654188865 674012770 741414047 1011019155 1308377730 1482828094 2022038310 2224242141 3707070235 4448484282 7414140470 11121210705 22242421410