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22780102068 = 2235177119417
BaseRepresentation
bin10101001101110011…
…001100010110110100
32011210120210002100000
4111031303030112310
5333123201231233
614244240351300
71434340446513
oct251563142664
964716702300
1022780102068
11972a856939
1244b9015530
1321c0659049
14116160a67a
158d4d74d13
hex54dccc5b4

22780102068 has 144 divisors (see below), whose sum is σ = 64122274944. Its totient is φ = 7045678080.

The previous prime is 22780102057. The next prime is 22780102073. The reversal of 22780102068 is 86020108722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1163496 + ... + 1182912.

It is an arithmetic number, because the mean of its divisors is an integer number (445293576).

Almost surely, 222780102068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22780102068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32061137472).

22780102068 is an abundant number, since it is smaller than the sum of its proper divisors (41342172876).

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

22780102068 is a wasteful number, since it uses less digits than its factorization.

22780102068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19524 (or 19510 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 22780102068 in words is "twenty-two billion, seven hundred eighty million, one hundred two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 71 81 102 108 142 153 162 204 213 243 284 306 324 426 459 486 612 639 852 918 972 1207 1278 1377 1836 1917 2414 2556 2754 3621 3834 4131 4828 5508 5751 7242 7668 8262 10863 11502 14484 16524 17253 19417 21726 23004 32589 34506 38834 43452 58251 65178 69012 77668 97767 116502 130356 174753 195534 233004 293301 330089 349506 391068 524259 586602 660178 699012 990267 1048518 1173204 1320356 1378607 1572777 1980534 2097036 2757214 2970801 3145554 3961068 4135821 4718331 5514428 5941602 6291108 8271642 8912403 9436662 11883204 12407463 16543284 17824806 18873324 23436319 24814926 26737209 35649612 37222389 46872638 49629852 53474418 70308957 74444778 80211627 93745276 106948836 111667167 140617914 148889556 160423254 210926871 223334334 281235828 320846508 335001501 421853742 446668668 632780613 670003002 843707484 1265561226 1340006004 1898341839 2531122452 3796683678 5695025517 7593367356 11390051034 22780102068