Search a number
-
+
22755055722 = 23737531731597
BaseRepresentation
bin10101001100010011…
…101001100001101010
32011201211122121012120
4111030103221201222
5333100243240342
614241543452110
71433614532220
oct251423514152
964654577176
1022755055722
1197176aa183
1244b0757036
1321b83c9a19
14115c16ab10
158d2a78aec
hex54c4e986a

22755055722 has 128 divisors (see below), whose sum is σ = 54774019584. Its totient is φ = 6166637568.

The previous prime is 22755055721. The next prime is 22755055723.

22755055722 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22755055721) and next prime (22755055723).

It is a super-2 number, since 2×227550557222 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22755055721) 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, 14247828 + ... + 14249424.

It is an arithmetic number, because the mean of its divisors is an integer number (427922028).

Almost surely, 222755055722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22755055722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27387009792).

22755055722 is an abundant number, since it is smaller than the sum of its proper divisors (32018963862).

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

22755055722 is a wasteful number, since it uses less digits than its factorization.

22755055722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872.

The product of its (nonzero) digits is 490000, while the sum is 42.

The spelling of 22755055722 in words is "twenty-two billion, seven hundred fifty-five million, fifty-five thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 53 74 106 111 159 173 222 259 318 346 371 518 519 742 777 1038 1113 1211 1554 1597 1961 2226 2422 3194 3633 3922 4791 5883 6401 7266 9169 9582 11179 11766 12802 13727 18338 19203 22358 27454 27507 33537 38406 41181 44807 55014 59089 64183 67074 82362 84641 89614 118178 128366 134421 169282 177267 192549 253923 268842 276281 339253 354534 385098 413623 507846 552562 592487 678506 827246 828843 1017759 1184974 1240869 1657686 1777461 1933967 2035518 2374771 2481738 3131717 3554922 3867934 4749542 5801901 6263434 7124313 9395151 10222397 11603802 14248626 14642893 18790302 20444794 21922019 29285786 30667191 43844038 43928679 61334382 65766057 71556779 87857358 102500251 131532114 143113558 205000502 214670337 307500753 429340674 541787041 615001506 1083574082 1625361123 3250722246 3792509287 7585018574 11377527861 22755055722