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20240225152 = 277193793137
BaseRepresentation
bin10010110110011010…
…010101001110000000
31221020120112222012121
4102312122111032000
5312422444201102
613144230134024
71314400034530
oct226632251600
957216488177
1020240225152
118647096804
123b0a4b1314
131ba73a70b4
14da01794c0
157d6dbdb37
hex4b6695380

20240225152 has 128 divisors (see below), whose sum is σ = 48651552000. Its totient is φ = 8193540096.

The previous prime is 20240225149. The next prime is 20240225191. The reversal of 20240225152 is 25152204202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6450528 + ... + 6453664.

It is an arithmetic number, because the mean of its divisors is an integer number (380090250).

Almost surely, 220240225152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20240225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24325776000).

20240225152 is an abundant number, since it is smaller than the sum of its proper divisors (28411326848).

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

20240225152 is a wasteful number, since it uses less digits than its factorization.

20240225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 20240225152 its reverse (25152204202), we get a palindrome (45392429354).

The spelling of 20240225152 in words is "twenty billion, two hundred forty million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 379 448 532 608 758 896 1064 1216 1516 2128 2432 2653 3032 3137 4256 5306 6064 6274 7201 8512 10612 12128 12548 14402 17024 21224 21959 24256 25096 28804 42448 43918 48512 50192 50407 57608 59603 84896 87836 100384 100814 115216 119206 169792 175672 200768 201628 230432 238412 339584 351344 401536 403256 417221 460864 476824 702688 806512 834442 921728 953648 1188923 1405376 1613024 1668884 1907296 2377846 2810752 3226048 3337768 3814592 4755692 6452096 6675536 7629184 8322461 9511384 13351072 16644922 19022768 22589537 26702144 33289844 38045536 45179074 53404288 66579688 76091072 90358148 133159376 152182144 158126759 180716296 266318752 316253518 361432592 532637504 632507036 722865184 1065275008 1265014072 1445730368 2530028144 2891460736 5060056288 10120112576 20240225152