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22552001160 = 23351369120921
BaseRepresentation
bin10101000000001101…
…000011101010001000
32011012200120100201020
4111000031003222020
5332141303014120
614205451352440
71425600563343
oct250015035210
964180510636
1022552001160
119623020297
124454752720
1321853132b0
14113d1d145a
158bed19640
hex540343a88

22552001160 has 128 divisors (see below), whose sum is σ = 72969240960. Its totient is φ = 5542963200.

The previous prime is 22552001159. The next prime is 22552001167. The reversal of 22552001160 is 6110025522.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22552001160.

It is not an unprimeable number, because it can be changed into a prime (22552001167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067500 + ... + 1088420.

It is an arithmetic number, because the mean of its divisors is an integer number (570072195).

Almost surely, 222552001160 is an apocalyptic number.

22552001160 is a gapful number since it is divisible by the number (20) 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 22552001160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36484620480).

22552001160 is an abundant number, since it is smaller than the sum of its proper divisors (50417239800).

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

22552001160 is a wasteful number, since it uses less digits than its factorization.

22552001160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 22552001160 its reverse (6110025522), we get a palindrome (28662026682).

The spelling of 22552001160 in words is "twenty-two billion, five hundred fifty-two million, one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 691 780 1382 1560 2073 2764 3455 4146 5528 6910 8292 8983 10365 13820 16584 17966 20730 20921 26949 27640 35932 41460 41842 44915 53898 62763 71864 82920 83684 89830 104605 107796 125526 134745 167368 179660 209210 215592 251052 269490 271973 313815 359320 418420 502104 538980 543946 627630 815919 836840 1077960 1087892 1255260 1359865 1631838 2175784 2510520 2719730 3263676 4079595 5439460 6527352 8159190 10878920 14456411 16318380 28912822 32636760 43369233 57825644 72282055 86738466 115651288 144564110 173476932 187933343 216846165 289128220 346953864 375866686 433692330 563800029 578256440 751733372 867384660 939666715 1127600058 1503466744 1734769320 1879333430 2255200116 2819000145 3758666860 4510400232 5638000290 7517333720 11276000580 22552001160