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22230340002 = 23413311632089
BaseRepresentation
bin10100101101000010…
…000001000110100010
32010101021022021120000
4110231002001012202
5331011431340002
614113521200430
71414613525613
oct245502010642
963337267500
1022230340002
1194784a1522
124384a90116
13213379cc50
14110c5bdc0a
158a197c61c
hex52d0811a2

22230340002 has 160 divisors (see below), whose sum is σ = 55741002240. Its totient is φ = 6575696640.

The previous prime is 22230340001. The next prime is 22230340007. The reversal of 22230340002 is 20004303222.

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

It is not an unprimeable number, because it can be changed into a prime (22230340001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10640574 + ... + 10642662.

It is an arithmetic number, because the mean of its divisors is an integer number (348381264).

Almost surely, 222230340002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230340002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27870501120).

22230340002 is an abundant number, since it is smaller than the sum of its proper divisors (33510662238).

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

22230340002 is a wasteful number, since it uses less digits than its factorization.

22230340002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22230340002 its reverse (20004303222), we get a palindrome (42234643224).

The spelling of 22230340002 in words is "twenty-two billion, two hundred thirty million, three hundred forty thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 163 186 234 279 326 351 403 489 558 702 806 837 978 1053 1209 1467 1674 2089 2106 2119 2418 2511 2934 3627 4178 4238 4401 5022 5053 6267 6357 7254 8802 10106 10881 12534 12714 13203 15159 18801 19071 21762 26406 27157 30318 32643 37602 38142 45477 54314 56403 57213 64759 65286 65689 81471 90954 112806 114426 129518 131378 136431 162942 169209 171639 194277 197067 244413 272862 338418 340507 343278 388554 394134 409293 488826 582831 591201 681014 733239 818586 841867 1021521 1165662 1182402 1466478 1683734 1748493 1773603 2043042 2199717 2525601 3064563 3496986 3547206 4399434 4426591 5051202 5245479 5320809 6129126 7576803 8853182 9193689 10490958 10555717 10641618 13279773 15153606 18387378 21111434 22730409 26559546 27581067 31667151 39839319 45460818 55162134 63334302 68191227 79678638 95001453 119517957 136382454 137224321 190002906 239035914 274448642 285004359 358553871 411672963 570008718 717107742 823345926 855013077 1235018889 1710026154 2470037778 3705056667 7410113334 11115170001 22230340002