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2948134224 = 243731349811
BaseRepresentation
bin1010111110111000…
…1111010101010000
321121110102201212110
42233232033111100
522014210243344
61204312425320
7133025504340
oct25756172520
97543381773
102948134224
111283165972
126a33a8240
1337ca24b29
141dd784d20
15123c4b3b9
hexafb8f550

2948134224 has 160 divisors (see below), whose sum is σ = 9021644800. Its totient is φ = 811814400.

The previous prime is 2948134213. The next prime is 2948134291. The reversal of 2948134224 is 4224318492.

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, 3634779 + ... + 3635589.

It is an arithmetic number, because the mean of its divisors is an integer number (56385280).

Almost surely, 22948134224 is an apocalyptic number.

2948134224 is a gapful number since it is divisible by the number (24) 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 2948134224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510822400).

2948134224 is an abundant number, since it is smaller than the sum of its proper divisors (6073510576).

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

2948134224 is a wasteful number, since it uses less digits than its factorization.

2948134224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1203 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 2948134224 is about 54296.7238790703. The cubic root of 2948134224 is about 1433.8897187842.

The spelling of 2948134224 in words is "two billion, nine hundred forty-eight million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 349 372 434 496 651 698 744 811 868 1047 1302 1396 1488 1622 1736 2094 2433 2443 2604 2792 3244 3472 4188 4866 4886 5208 5584 5677 6488 7329 8376 9732 9772 10416 10819 11354 12976 14658 16752 17031 19464 19544 21638 22708 25141 29316 32457 34062 38928 39088 43276 45416 50282 58632 64914 68124 75423 75733 86552 90832 100564 117264 129828 136248 150846 151466 173104 175987 201128 227199 259656 272496 283039 301692 302932 351974 402256 454398 519312 527961 566078 603384 605864 703948 849117 908796 1055922 1132156 1206768 1211728 1407896 1698234 1817592 1981273 2111844 2264312 2815792 3396468 3635184 3962546 4223688 4528624 5943819 6792936 7925092 8447376 8774209 11887638 13585872 15850184 17548418 23775276 26322627 31700368 35096836 47550552 52645254 61419463 70193672 95101104 105290508 122838926 140387344 184258389 210581016 245677852 368516778 421162032 491355704 737033556 982711408 1474067112 2948134224