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22122340152 = 23311413675569
BaseRepresentation
bin10100100110100110…
…000001111100111000
32010002202002022121120
4110212212001330320
5330301304341102
614055102305240
71412132534343
oct244646017470
963082068546
1022122340152
119422536650
124354888220
1321172b8103
1410dc10945a
158972476bc
hex526981f38

22122340152 has 128 divisors (see below), whose sum is σ = 61984742400. Its totient is φ = 6521241600.

The previous prime is 22122340117. The next prime is 22122340169. The reversal of 22122340152 is 25104322122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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, 3969624 + ... + 3975192.

It is an arithmetic number, because the mean of its divisors is an integer number (484255800).

Almost surely, 222122340152 is an apocalyptic number.

22122340152 is a gapful number since it is divisible by the number (22) 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 22122340152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30992371200).

22122340152 is an abundant number, since it is smaller than the sum of its proper divisors (39862402248).

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

22122340152 is a wasteful number, since it uses less digits than its factorization.

22122340152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 22122340152 its reverse (25104322122), we get a palindrome (47226662274).

The spelling of 22122340152 in words is "twenty-two billion, one hundred twenty-two million, three hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 367 451 492 734 902 984 1101 1353 1468 1804 2202 2706 2936 3608 4037 4404 5412 5569 8074 8808 10824 11138 12111 15047 16148 16707 22276 24222 30094 32296 33414 44552 45141 48444 60188 61259 66828 90282 96888 120376 122518 133656 165517 180564 183777 228329 245036 331034 361128 367554 456658 490072 496551 662068 684987 735108 913316 993102 1324136 1369974 1470216 1826632 1986204 2043823 2511619 2739948 3972408 4087646 5023238 5479896 6131469 7534857 8175292 10046476 12262938 15069714 16350584 20092952 22482053 24525876 30139428 44964106 49051752 60278856 67446159 83796743 89928212 134892318 167593486 179856424 251390229 269784636 335186972 502780458 539569272 670373944 921764173 1005560916 1843528346 2011121832 2765292519 3687056692 5530585038 7374113384 11061170076 22122340152