Search a number
-
+
22640108805400 = 23521715144098381
BaseRepresentation
bin1010010010111010011111…
…01001001001110100011000
32222011101002002221211120011
411021131033221021310120
510431413420323233100
6120052420012211304
74524460000423462
oct511351751116430
988141062854504
1022640108805400
117239686215579
12265797a769b34
13c82c50c62548
14583b03ba3132
15293dc400bbba
hex14974fa49d18

22640108805400 has 96 divisors (see below), whose sum is σ = 56103725515680. Its totient is φ = 8466888960000.

The previous prime is 22640108805313. The next prime is 22640108805401. The reversal of 22640108805400 is 450880104622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22640108805401) 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, 21535791 + ... + 22562590.

It is an arithmetic number, because the mean of its divisors is an integer number (584413807455).

Almost surely, 222640108805400 is an apocalyptic number.

22640108805400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22640108805400 is an abundant number, since it is smaller than the sum of its proper divisors (33463616710280).

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

22640108805400 is a wasteful number, since it uses less digits than its factorization.

22640108805400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44098565 (or 44098556 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 22640108805400 in words is "twenty-two trillion, six hundred forty billion, one hundred eight million, eight hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 151 170 200 302 340 425 604 680 755 850 1208 1510 1700 2567 3020 3400 3775 5134 6040 7550 10268 12835 15100 20536 25670 30200 51340 64175 102680 128350 256700 513400 44098381 88196762 176393524 220491905 352787048 440983810 749672477 881967620 1102459525 1499344954 1763935240 2204919050 2998689908 3748362385 4409838100 5997379816 6658855531 7496724770 8819676200 13317711062 14993449540 18741811925 26635422124 29986899080 33294277655 37483623850 53270844248 66588555310 74967247700 113200544027 133177110620 149934495400 166471388275 226401088054 266354221240 332942776550 452802176108 566002720135 665885553100 905604352216 1132005440270 1331771106200 2264010880540 2830013600675 4528021761080 5660027201350 11320054402700 22640108805400