Search a number
-
+
22007670611430 = 2357307557361253
BaseRepresentation
bin1010000000100000011110…
…11000111001110111100110
32212220220122101220210100110
411000100033120321313212
510341033202134031210
6114450103450553450
74431000410446410
oct500201730716746
985826571823313
1022007670611430
117015445359809
122575298438886
13c38411a7082a
145612697519b0
1528270b497420
hex14040f639de6

22007670611430 has 128 divisors (see below), whose sum is σ = 60572377248768. Its totient is φ = 5012957763072.

The previous prime is 22007670611419. The next prime is 22007670611441. The reversal of 22007670611430 is 3411607670022.

It is an interprime number because it is at equal distance from previous prime (22007670611419) and next prime (22007670611441).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359260684 + ... + 359321936.

It is an arithmetic number, because the mean of its divisors is an integer number (473221697256).

Almost surely, 222007670611430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22007670611430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30286188624384).

22007670611430 is an abundant number, since it is smaller than the sum of its proper divisors (38564706637338).

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

22007670611430 is a wasteful number, since it uses less digits than its factorization.

22007670611430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67150.

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 22007670611430 in words is "twenty-two trillion, seven billion, six hundred seventy million, six hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 307 614 921 1535 1842 2149 3070 4298 4605 5573 6447 9210 10745 11146 12894 16719 21490 27865 32235 33438 39011 55730 61253 64470 78022 83595 117033 122506 167190 183759 195055 234066 306265 367518 390110 428771 585165 612530 857542 918795 1170330 1286313 1710911 1837590 2143855 2572626 3421822 4287710 5132733 6431565 8554555 10265466 11976377 12863130 17109110 18804671 23952754 25663665 35929131 37609342 51327330 56414013 59881885 71858262 94023355 112828026 119763770 131632697 179645655 188046710 263265394 282070065 341362969 359291310 394898091 564140130 658163485 682725938 789796182 1024088907 1316326970 1706814845 1974490455 2048177814 2389540783 3413629690 3948980910 4779081566 5120444535 7168622349 10240889070 11947703915 14337244698 23895407830 35843111745 71686223490 104798431483 209596862966 314395294449 523992157415 628790588898 733589020381 1047984314830 1467178040762 1571976472245 2200767061143 3143952944490 3667945101905 4401534122286 7335890203810 11003835305715 22007670611430