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2220124302440 = 23511127103338461
BaseRepresentation
bin100000010011101001101…
…110000110110001101000
321212020112021120000121022
4200103221232012301220
5242333303310134230
64415524440432012
7316253515126532
oct40235156066150
97766467500538
102220124302440
117866053212a0
122ba337178608
13131483c304c5
1479651572852
153cb3d0731e5
hex204e9b86c68

2220124302440 has 128 divisors (see below), whose sum is σ = 5497764433920. Its totient is φ = 800164915200.

The previous prime is 2220124302379. The next prime is 2220124302457. The reversal of 2220124302440 is 442034210222.

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, 57704810 + ... + 57743270.

It is an arithmetic number, because the mean of its divisors is an integer number (42951284640).

Almost surely, 22220124302440 is an apocalyptic number.

2220124302440 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 2220124302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748882216960).

2220124302440 is an abundant number, since it is smaller than the sum of its proper divisors (3277640131480).

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

2220124302440 is a wasteful number, since it uses less digits than its factorization.

2220124302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39643 (or 39639 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2220124302440 its reverse (442034210222), we get a palindrome (2662158512662).

The spelling of 2220124302440 in words is "two trillion, two hundred twenty billion, one hundred twenty-four million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 127 220 254 440 508 635 1016 1033 1270 1397 2066 2540 2794 4132 5080 5165 5588 6985 8264 10330 11176 11363 13970 20660 22726 27940 38461 41320 45452 55880 56815 76922 90904 113630 131191 153844 192305 227260 262382 307688 384610 423071 454520 524764 655955 769220 846142 1049528 1311910 1443101 1538440 1692284 2115355 2623820 2886202 3384568 4230710 4884547 5247640 5772404 7215505 8461420 9769094 11544808 14431010 16922840 19538188 24422735 28862020 39076376 39730213 48845470 53730017 57724040 79460426 97690940 107460034 158920852 195381880 198651065 214920068 268650085 317841704 397302130 429840136 437032343 537300170 794604260 874064686 1074600340 1589208520 1748129372 2149200680 2185161715 3496258744 4370323430 5045737051 8740646860 10091474102 17481293720 20182948204 25228685255 40365896408 50457370510 55503107561 100914741020 111006215122 201829482040 222012430244 277515537805 444024860488 555031075610 1110062151220 2220124302440