Search a number
-
+
22678260072 = 2331332914831
BaseRepresentation
bin10101000111101110…
…101100100101101000
32011112111010222101020
4111013232230211220
5332421113310242
614230201452440
71431663013206
oct250756544550
964474128336
1022678260072
1196883174a6
12448aaa1120
1321a551c000
141151c9a076
158cae596ec
hex547bac968

22678260072 has 128 divisors (see below), whose sum is σ = 63540288000. Its totient is φ = 6736853760.

The previous prime is 22678260053. The next prime is 22678260097. The reversal of 22678260072 is 27006287622.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521697 + ... + 1536527.

It is an arithmetic number, because the mean of its divisors is an integer number (496408500).

Almost surely, 222678260072 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 22678260072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31770144000).

22678260072 is an abundant number, since it is smaller than the sum of its proper divisors (40862027928).

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

22678260072 is a wasteful number, since it uses less digits than its factorization.

22678260072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14908 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 22678260072 in words is "twenty-two billion, six hundred seventy-eight million, two hundred sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 169 174 232 312 338 348 377 507 676 696 754 1014 1131 1352 1508 2028 2197 2262 3016 4056 4394 4524 4901 6591 8788 9048 9802 13182 14703 14831 17576 19604 26364 29406 29662 39208 44493 52728 58812 59324 63713 88986 117624 118648 127426 177972 191139 192803 254852 355944 382278 385606 430099 509704 578409 764556 771212 860198 1156818 1290297 1529112 1542424 1720396 2313636 2506439 2580594 3440792 4627272 5012878 5161188 5591287 7519317 10025756 10322376 11182574 15038634 16773861 20051512 22365148 30077268 32583707 33547722 44730296 60154536 65167414 67095444 72686731 97751121 130334828 134190888 145373462 195502242 218060193 260669656 290746924 391004484 436120386 581493848 782008968 872240772 944927503 1744481544 1889855006 2834782509 3779710012 5669565018 7559420024 11339130036 22678260072