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22010554530540 = 223251035212278681
BaseRepresentation
bin1010000000100101110110…
…10010001011101011101100
32212221012002101112001122100
411000102323102023223230
510341110103424434130
6114451301551215100
74431132026403012
oct500227322135354
985835071461570
1022010554530540
117016695244934
122575962217490
13c387813a0c44
1456146077c8b2
1528282975bc60
hex1404bb48baec

22010554530540 has 144 divisors (see below), whose sum is σ = 67542978275136. Its totient is φ = 5801336985600.

The previous prime is 22010554530533. The next prime is 22010554530557. The reversal of 22010554530540 is 4503545501022.

22010554530540 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 554 + 53 + 0 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22010554530495 and 22010554530504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8520000 + ... + 10798680.

It is an arithmetic number, because the mean of its divisors is an integer number (469048460244).

Almost surely, 222010554530540 is an apocalyptic number.

22010554530540 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 22010554530540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33771489137568).

22010554530540 is an abundant number, since it is smaller than the sum of its proper divisors (45532423744596).

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

22010554530540 is a wasteful number, since it uses less digits than its factorization.

22010554530540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279320 (or 2279315 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 22010554530540 in words is "twenty-two trillion, ten billion, five hundred fifty-four million, five hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 521 618 927 1030 1042 1236 1545 1563 1854 2060 2084 2605 3090 3126 3708 4635 4689 5210 6180 6252 7815 9270 9378 10420 15630 18540 18756 23445 31260 46890 53663 93780 107326 160989 214652 268315 321978 482967 536630 643956 804945 965934 1073260 1609890 1931868 2278681 2414835 3219780 4557362 4829670 6836043 9114724 9659340 11393405 13672086 20508129 22786810 27344172 34180215 41016258 45573620 68360430 82032516 102540645 136720860 205081290 234704143 410162580 469408286 704112429 938816572 1173520715 1187192801 1408224858 2112337287 2347041430 2374385602 2816449716 3520562145 3561578403 4224674574 4694082860 4748771204 5935964005 7041124290 7123156806 8449349148 10561686435 10684735209 11871928010 14082248580 14246313612 17807892015 21123372870 21369470418 23743856020 35615784030 42246745740 42738940836 53423676045 71231568060 106847352090 122280858503 213694704180 244561717006 366842575509 489123434012 611404292515 733685151018 1100527726527 1222808585030 1467370302036 1834212877545 2201055453054 2445617170060 3668425755090 4402110906108 5502638632635 7336851510180 11005277265270 22010554530540