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22005690256 = 241117193112487
BaseRepresentation
bin10100011111101001…
…000010111110010000
32002210121120220001001
4110133221002332100
5330031424042011
614035334151344
71406215165234
oct243751027620
962717526031
1022005690256
119372702880
1243217b2554
1320c9094cc4
1410ca8225c4
1588bda47c1
hex51fa42f90

22005690256 has 160 divisors (see below), whose sum is σ = 53516574720. Its totient is φ = 8630323200.

The previous prime is 22005690251. The next prime is 22005690257. The reversal of 22005690256 is 65209650022.

It is a super-3 number, since 3×220056902563 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22005690251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756045 + ... + 1768531.

It is an arithmetic number, because the mean of its divisors is an integer number (334478592).

Almost surely, 222005690256 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 22005690256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26758287360).

22005690256 is an abundant number, since it is smaller than the sum of its proper divisors (31510884464).

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

22005690256 is a wasteful number, since it uses less digits than its factorization.

22005690256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12573 (or 12567 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 22005690256 in words is "twenty-two billion, five million, six hundred ninety thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 19 22 31 34 38 44 62 68 76 88 124 136 152 176 187 209 248 272 304 323 341 374 418 496 527 589 646 682 748 836 1054 1178 1292 1364 1496 1672 2108 2356 2584 2728 2992 3344 3553 4216 4712 5168 5456 5797 6479 7106 8432 9424 10013 11594 12487 12958 14212 20026 23188 24974 25916 28424 40052 46376 49948 51832 56848 80104 92752 99896 103664 110143 137357 160208 199792 212279 220286 237253 274714 387097 424558 440572 474506 549428 774194 849116 881144 949012 1098856 1548388 1698232 1762288 1898024 2197712 2335069 2609783 3096776 3396464 3796048 4033301 4258067 4670138 5219566 6193552 6580649 7354843 8066602 8516134 9340276 10439132 13161298 14709686 16133204 17032268 18680552 20878264 26322596 29419372 32266408 34064536 37361104 41756528 44366311 52645192 58838744 64532816 68129072 72387139 80903273 88732622 105290384 117677488 125032331 144774278 161806546 177465244 250064662 289548556 323613092 354930488 500129324 579097112 647226184 709860976 1000258648 1158194224 1294452368 1375355641 2000517296 2750711282 5501422564 11002845128 22005690256