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22155004152 = 23323771117133
BaseRepresentation
bin10100101000100010…
…101000100011111000
32010012000112211012100
4110220202220203320
5330333140113102
614102230343400
71413010266561
oct245042504370
963160484170
1022155004152
119439a16596
1243637bab60
132120cb3818
1411025ad168
1589a04aa1c
hex5288a88f8

22155004152 has 96 divisors (see below), whose sum is σ = 62493331680. Its totient is φ = 7084143360.

The previous prime is 22155004117. The next prime is 22155004153. The reversal of 22155004152 is 25140055122.

22155004152 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 500 + 4 + 152 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22155004153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130578 + ... + 247710.

It is an arithmetic number, because the mean of its divisors is an integer number (650972205).

Almost surely, 222155004152 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 22155004152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31246665840).

22155004152 is an abundant number, since it is smaller than the sum of its proper divisors (40338327528).

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

22155004152 is a wasteful number, since it uses less digits than its factorization.

22155004152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117253 (or 117246 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 22155004152 its reverse (25140055122), we get a palindrome (47295059274).

The spelling of 22155004152 in words is "twenty-two billion, one hundred fifty-five million, four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 71 72 74 111 142 148 213 222 284 296 333 426 444 568 639 666 852 888 1278 1332 1704 2556 2627 2664 5112 5254 7881 10508 15762 21016 23643 31524 47286 63048 94572 117133 189144 234266 351399 468532 702798 937064 1054197 1405596 2108394 2811192 4216788 4333921 8316443 8433576 8667842 13001763 16632886 17335684 24949329 26003526 33265772 34671368 39005289 49898658 52007052 66531544 74847987 78010578 99797316 104014104 149695974 156021156 199594632 299391948 307708391 312042312 598783896 615416782 923125173 1230833564 1846250346 2461667128 2769375519 3692500692 5538751038 7385001384 11077502076 22155004152