Search a number
-
+
2000002242024 = 233419473456241
BaseRepresentation
bin11101000110101001011…
…011000101010111101000
321002012100121001202110000
4131012221123011113220
5230232001033221044
64130442141023000
7264331630363413
oct35065133052750
97065317052400
102000002242024
117012181422a6
12283744854a60
131167a3b6aa07
146cb2ccb4b7a
15370582c1d69
hex1d1a96c55e8

2000002242024 has 160 divisors (see below), whose sum is σ = 6022156060800. Its totient is φ = 618141611520.

The previous prime is 2000002241999. The next prime is 2000002242031. The reversal of 2000002242024 is 4202422000002.

2000002242024 is a `hidden beast` number, since 200 + 0 + 0 + 0 + 22 + 420 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2000002241988 and 2000002242006.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1149457 + ... + 2306784.

It is an arithmetic number, because the mean of its divisors is an integer number (37638475380).

Almost surely, 22000002242024 is an apocalyptic number.

2000002242024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2000002242024 is an abundant number, since it is smaller than the sum of its proper divisors (4022153818776).

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

2000002242024 is a wasteful number, since it uses less digits than its factorization.

2000002242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456325 (or 3456312 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 2000002242024 its reverse (4202422000002), we get a palindrome (6202424242026).

The spelling of 2000002242024 in words is "two trillion, two million, two hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 72 76 81 94 108 114 141 152 162 171 188 216 228 282 324 342 376 423 456 513 564 648 684 846 893 1026 1128 1269 1368 1539 1692 1786 2052 2538 2679 3078 3384 3572 3807 4104 5076 5358 6156 7144 7614 8037 10152 10716 12312 15228 16074 21432 24111 30456 32148 48222 64296 72333 96444 144666 192888 289332 578664 3456241 6912482 10368723 13824964 20737446 27649928 31106169 41474892 62212338 65668579 82949784 93318507 124424676 131337158 162443327 186637014 197005737 248849352 262674316 279955521 324886654 373274028 394011474 487329981 525348632 559911042 591017211 649773308 746548056 788022948 974659962 1119822084 1182034422 1299546616 1461989943 1576045896 1773051633 1949319924 2239644168 2364068844 2923979886 3086423213 3546103266 3898639848 4385969829 4728137688 5319154899 5847959772 6172846426 7092206532 8771939658 9259269639 10638309798 11695919544 12345692852 13157909487 14184413064 17543879316 18518539278 21276619596 24691385704 26315818974 27777808917 35087758632 37037078556 42553239192 52631637948 55555617834 74074157112 83333426751 105263275896 111111235668 166666853502 222222471336 250000280253 333333707004 500000560506 666667414008 1000001121012 2000002242024