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22200125020040 = 23511377917261317
BaseRepresentation
bin1010000110000110111101…
…00100001101011110001000
32220121022101212211201101002
411003003132210031132020
510402211324001120130
6115114332512514132
74450622536103612
oct503033644153610
986538355751332
1022200125020040
11708a0248aa470
1225a6648b4b948
13c50602a2b116
1456a6c5653db2
15287722280b45
hex1430de90d788

22200125020040 has 128 divisors (see below), whose sum is σ = 56672359257600. Its totient is φ = 7755164052480.

The previous prime is 22200125020001. The next prime is 22200125020069. The reversal of 22200125020040 is 4002052100222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22200125019994 and 22200125020021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7344539 + ... + 9916778.

It is an arithmetic number, because the mean of its divisors is an integer number (442752806700).

Almost surely, 222200125020040 is an apocalyptic number.

22200125020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200125020040 is an abundant number, since it is smaller than the sum of its proper divisors (34472234237560).

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

22200125020040 is a wasteful number, since it uses less digits than its factorization.

22200125020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17261455 (or 17261451 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 22200125020040 its reverse (4002052100222), we get a palindrome (26202177120262).

The spelling of 22200125020040 in words is "twenty-two trillion, two hundred billion, one hundred twenty-five million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 79 88 110 148 158 185 220 296 316 370 395 407 440 632 740 790 814 869 1480 1580 1628 1738 2035 2923 3160 3256 3476 4070 4345 5846 6952 8140 8690 11692 14615 16280 17380 23384 29230 32153 34760 58460 64306 116920 128612 160765 257224 321530 643060 1286120 17261317 34522634 69045268 86306585 138090536 172613170 189874487 345226340 379748974 638668729 690452680 759497948 949372435 1277337458 1363644043 1518995896 1898744870 2554674916 2727288086 3193343645 3797489740 5109349832 5454576172 6386687290 6818220215 7025356019 7594979480 10909152344 12773374580 13636440430 14050712038 15000084473 25546749160 27272880860 28101424076 30000168946 35126780095 50454829591 54545761720 56202848152 60000337892 70253560190 75000422365 100909659182 120000675784 140507120380 150000844730 201819318364 252274147955 281014240760 300001689460 403638636728 504548295910 555003125501 600003378920 1009096591820 1110006251002 2018193183640 2220012502004 2775015627505 4440025004008 5550031255010 11100062510020 22200125020040