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22291893416 = 231317311014027
BaseRepresentation
bin10100110000101100…
…110100110010101000
32010112120010111222002
4110300230310302220
5331123211042131
614124000350132
71416261652622
oct246054646250
963476114862
1022291893416
1194aa213511
1243a1615348
132143471ca0
141116843c12
158a708a6cb
hex530b34ca8

22291893416 has 128 divisors (see below), whose sum is σ = 49697141760. Its totient is φ = 9275904000.

The previous prime is 22291893269. The next prime is 22291893521. The reversal of 22291893416 is 61439819222.

It is a happy number.

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, 5533595 + ... + 5537621.

It is an arithmetic number, because the mean of its divisors is an integer number (388258920).

Almost surely, 222291893416 is an apocalyptic number.

22291893416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22291893416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24848570880).

22291893416 is an abundant number, since it is smaller than the sum of its proper divisors (27405248344).

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

22291893416 is a wasteful number, since it uses less digits than its factorization.

22291893416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4191 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The spelling of 22291893416 in words is "twenty-two billion, two hundred ninety-one million, eight hundred ninety-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 101 104 124 136 202 221 248 403 404 442 527 806 808 884 1054 1313 1612 1717 1768 2108 2626 3131 3224 3434 4027 4216 5252 6262 6851 6868 8054 10504 12524 13702 13736 16108 22321 25048 27404 32216 40703 44642 52351 53227 54808 68459 81406 89284 104702 106454 124837 136918 162812 178568 209404 212908 249674 273836 325624 406727 418808 425816 499348 547672 691951 813454 889967 998696 1383902 1622881 1626908 1779934 2122229 2767804 3245762 3253816 3559868 4244458 5287451 5535608 6491524 6914359 7119736 8488916 10574902 12608537 12983048 13828718 16977832 21149804 25217074 27588977 27657436 42299608 50434148 55177954 55314872 89886667 100868296 110355908 163910981 179773334 214345129 220711816 327821962 359546668 428690258 655643924 719093336 857380516 1311287848 1714761032 2786486677 5572973354 11145946708 22291893416