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22321413104 = 2419318328537
BaseRepresentation
bin10100110010011101…
…011011101111110000
32010121121200021100212
4110302131123233300
5331203240204404
614130533203252
71420100611064
oct246235335760
963547607325
1022321413104
119514946051
1243ab490528
132149609463
14111a729aa4
158a996c06e
hex53275bbf0

22321413104 has 80 divisors (see below), whose sum is σ = 47560289280. Its totient is φ = 10108592640.

The previous prime is 22321413097. The next prime is 22321413109. The reversal of 22321413104 is 40131412322.

It is a super-3 number, since 3×223214131043 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22321413104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22321413109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767924 + ... + 796460.

It is an arithmetic number, because the mean of its divisors is an integer number (594503616).

Almost surely, 222321413104 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 22321413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23780144640).

22321413104 is an abundant number, since it is smaller than the sum of its proper divisors (25238876176).

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

22321413104 is a wasteful number, since it uses less digits than its factorization.

22321413104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28678 (or 28672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22321413104 its reverse (40131412322), we get a palindrome (62452825426).

The spelling of 22321413104 in words is "twenty-two billion, three hundred twenty-one million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 19 31 38 62 76 83 124 152 166 248 304 332 496 589 664 1178 1328 1577 2356 2573 3154 4712 5146 6308 9424 10292 12616 20584 25232 28537 41168 48887 57074 97774 114148 195548 228296 391096 456592 542203 782192 884647 1084406 1769294 2168812 2368571 3538588 4337624 4737142 7077176 8675248 9474284 14154352 16808293 18948568 33616586 37897136 45002849 67233172 73425701 90005698 134466344 146851402 180011396 268932688 293702804 360022792 587405608 720045584 1174811216 1395088319 2790176638 5580353276 11160706552 22321413104