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4024532226 = 231113231091871
BaseRepresentation
bin1110111111100001…
…0111110100000010
3101101110212102100010
43233320113310002
531220240012401
61503203405350
7201505650051
oct35770276402
911343772303
104024532226
11178581a6a0
12943983856
134c1a30a20
142a26dc398
151884bded6
hexefe17d02

4024532226 has 128 divisors (see below), whose sum is σ = 9963233280. Its totient is φ = 1066348800.

The previous prime is 4024532219. The next prime is 4024532273. The reversal of 4024532226 is 6222354204.

It is a super-2 number, since 2×40245322262 = 32393719276225030152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4024532193 and 4024532202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2150071 + ... + 2151941.

It is an arithmetic number, because the mean of its divisors is an integer number (77837760).

Almost surely, 24024532226 is an apocalyptic number.

4024532226 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024532226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981616640).

4024532226 is an abundant number, since it is smaller than the sum of its proper divisors (5938701054).

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

4024532226 is a wasteful number, since it uses less digits than its factorization.

4024532226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032.

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4024532226 is about 63439.2010195589. The cubic root of 4024532226 is about 1590.6396469155.

The spelling of 4024532226 in words is "four billion, twenty-four million, five hundred thirty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 109 138 143 218 253 286 299 327 429 506 598 654 759 858 897 1199 1417 1518 1794 1871 2398 2507 2834 3289 3597 3742 4251 5014 5613 6578 7194 7521 8502 9867 11226 15042 15587 19734 20581 24323 27577 31174 32591 41162 43033 46761 48646 55154 61743 65182 72969 82731 86066 93522 97773 123486 129099 145938 165462 195546 203939 258198 267553 358501 407878 473363 535106 559429 611817 717002 802659 946726 1075503 1118858 1223634 1420089 1605318 1678287 2151006 2243329 2651207 2840178 3356574 4486658 4690597 5302414 6153719 6729987 7953621 9381194 12307438 13459974 14071791 15907242 18461157 28143582 29163277 36922314 51596567 58326554 60977761 87489831 103193134 121955522 154789701 174979662 182933283 309579402 365866566 670755371 1341510742 2012266113 4024532226