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22606007147000 = 2353311475349429
BaseRepresentation
bin1010010001111010111110…
…00001101001100111111000
32222001010001111200002121222
411020331133001221213320
510430334100312201000
6120025020055251212
74522141634211044
oct510753701514770
988033044602558
1022606007147000
117226176773912
122651242079b08
13c7c977ba4454
145821cab01024
1529307a27ba85
hex148f5f0699f8

22606007147000 has 128 divisors (see below), whose sum is σ = 54609251673600. Its totient is φ = 8749942272000.

The previous prime is 22606007146937. The next prime is 22606007147021. The reversal of 22606007147000 is 74170060622.

It is a super-2 number, since 2×226060071470002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 457318286 + ... + 457367714.

It is an arithmetic number, because the mean of its divisors is an integer number (426634778700).

Almost surely, 222606007147000 is an apocalyptic number.

22606007147000 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 22606007147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27304625836800).

22606007147000 is an abundant number, since it is smaller than the sum of its proper divisors (32003244526600).

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

22606007147000 is a wasteful number, since it uses less digits than its factorization.

22606007147000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64234 (or 64220 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 22606007147000 in words is "twenty-two trillion, six hundred six billion, seven million, one hundred forty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 14753 15500 29506 31000 49429 59012 73765 98858 118024 147530 197716 247145 295060 368825 395432 457343 494290 590120 737650 914686 988580 1235725 1475300 1532299 1829372 1844125 1977160 2286715 2471450 2950600 3064598 3658744 3688250 4573430 4942900 6129196 6178625 7376500 7661495 9146860 9885800 11433575 12258392 12357250 14753000 15322990 18293720 22867150 24714500 30645980 38307475 45734300 49429000 57167875 61291960 76614950 91468600 114335750 153229900 191537375 228671500 306459800 383074750 457343000 729226037 766149500 1458452074 1532299000 2916904148 3646130185 5833808296 7292260370 14584520740 18230650925 22606007147 29169041480 36461301850 45212014294 72922603700 90424028588 91153254625 113030035735 145845207400 180848057176 182306509250 226060071470 364613018500 452120142940 565150178675 729226037000 904240285880 1130300357350 2260600714700 2825750893375 4521201429400 5651501786750 11303003573500 22606007147000