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23005223040 = 2735103116329
BaseRepresentation
bin10101011011001101…
…111101100010000000
32012101021101102020210
4111123031331202000
5334103314114130
614322441434120
71443043112052
oct253315754200
965337342223
1023005223040
119835937628
12456049b940
13222819a617
14118348b8d2
158e99e25b0
hex55b37d880

23005223040 has 128 divisors (see below), whose sum is σ = 74041718400. Its totient is φ = 6075113472.

The previous prime is 23005223029. The next prime is 23005223077. The reversal of 23005223040 is 4032250032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 23005222998 and 23005223016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139596 + ... + 255924.

It is an arithmetic number, because the mean of its divisors is an integer number (578450925).

Almost surely, 223005223040 is an apocalyptic number.

23005223040 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 23005223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37020859200).

23005223040 is an abundant number, since it is smaller than the sum of its proper divisors (51036495360).

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

23005223040 is a wasteful number, since it uses less digits than its factorization.

23005223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116454 (or 116442 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 23005223040 its reverse (4032250032), we get a palindrome (27037473072).

The spelling of 23005223040 in words is "twenty-three billion, five million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 128 160 192 206 240 309 320 384 412 480 515 618 640 824 960 1030 1236 1545 1648 1920 2060 2472 3090 3296 4120 4944 6180 6592 8240 9888 12360 13184 16480 19776 24720 32960 39552 49440 65920 98880 116329 197760 232658 348987 465316 581645 697974 930632 1163290 1395948 1744935 1861264 2326580 2791896 3489870 3722528 4653160 5583792 6979740 7445056 9306320 11167584 11981887 13959480 14890112 18612640 22335168 23963774 27918960 35945661 37225280 44670336 47927548 55837920 59909435 71891322 74450560 95855096 111675840 119818870 143782644 179728305 191710192 223351680 239637740 287565288 359456610 383420384 479275480 575130576 718913220 766840768 958550960 1150261152 1437826440 1533681536 1917101920 2300522304 2875652880 3834203840 4601044608 5751305760 7668407680 11502611520 23005223040