Search a number
-
+
22400100451560 = 23351314359038751
BaseRepresentation
bin1010001011111011011100…
…00001111100010011101000
32221022102120111220012020210
411011331232001330103220
510414000401203422220
6115350244124221120
74501232241163446
oct505755601742350
987272514805223
1022400100451560
11715691380aa37
12261935839a7a0
13c66421c27620
1457625637bb96
1528ca284a06e0
hex145f6e07c4e8

22400100451560 has 64 divisors (see below), whose sum is σ = 72369555310080. Its totient is φ = 5513870880000.

The previous prime is 22400100451559. The next prime is 22400100451571. The reversal of 22400100451560 is 6515400100422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7179517816 + ... + 7179520935.

It is an arithmetic number, because the mean of its divisors is an integer number (1130774301720).

Almost surely, 222400100451560 is an apocalyptic number.

22400100451560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22400100451560 is an abundant number, since it is smaller than the sum of its proper divisors (49969454858520).

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

22400100451560 is a wasteful number, since it uses less digits than its factorization.

22400100451560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14359038778 (or 14359038774 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 22400100451560 its reverse (6515400100422), we get a palindrome (28915500551982).

The spelling of 22400100451560 in words is "twenty-two trillion, four hundred billion, one hundred million, four hundred fifty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 14359038751 28718077502 43077116253 57436155004 71795193755 86154232506 114872310008 143590387510 172308465012 186667503763 215385581265 287180775020 344616930024 373335007526 430771162530 560002511289 574361550040 746670015052 861542325060 933337518815 1120005022578 1493340030104 1723084650120 1866675037630 2240010045156 2800012556445 3733350075260 4480020090312 5600025112890 7466700150520 11200050225780 22400100451560