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2122200053440 = 26531521410617
BaseRepresentation
bin11110111000011100111…
…110101111011011000000
321111212202202210202102021
4132320130332233123000
5234232231203202230
64302531504131224
7306216044551315
oct36703476573300
97455682722367
102122200053440
11749024671695
122a3368606b14
1312517949b4bc
1474a02088d0c
153a30b1b0c7a
hex1ee1cfaf6c0

2122200053440 has 112 divisors (see below), whose sum is σ = 5226529860864. Its totient is φ = 819918028800.

The previous prime is 2122200053411. The next prime is 2122200053453. The reversal of 2122200053440 is 443500022212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4963012 + ... + 5373628.

Almost surely, 22122200053440 is an apocalyptic number.

2122200053440 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 2122200053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613264930432).

2122200053440 is an abundant number, since it is smaller than the sum of its proper divisors (3104329807424).

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

2122200053440 is a wasteful number, since it uses less digits than its factorization.

2122200053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411186 (or 411176 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2122200053440 its reverse (443500022212), we get a palindrome (2565700075652).

The spelling of 2122200053440 in words is "two trillion, one hundred twenty-two billion, two hundred million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 521 620 992 1042 1240 1984 2084 2480 2605 4168 4960 5210 8336 9920 10420 16151 16672 20840 32302 33344 41680 64604 80755 83360 129208 161510 166720 258416 323020 410617 516832 646040 821234 1033664 1292080 1642468 2053085 2584160 3284936 4106170 5168320 6569872 8212340 12729127 13139744 16424680 25458254 26279488 32849360 50916508 63645635 65698720 101833016 127291270 131397440 203666032 213931457 254582540 407332064 427862914 509165080 814664128 855725828 1018330160 1069657285 1711451656 2036660320 2139314570 3422903312 4073320640 4278629140 6631875167 6845806624 8557258280 13263750334 13691613248 17114516560 26527500668 33159375835 34229033120 53055001336 66318751670 68458066240 106110002672 132637503340 212220005344 265275006680 424440010688 530550013360 1061100026720 2122200053440