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4242100224 = 2123973559
BaseRepresentation
bin1111110011011001…
…0101000000000000
3101221122021000112010
43330312111000000
532141434201344
61540534532520
7210060154065
oct37466250000
911848230463
104242100224
11188761175a
129a4807140
13527b2949b
142c3574c6c
1519c6488b9
hexfcd95000

4242100224 has 104 divisors (see below), whose sum is σ = 11430704320. Its totient is φ = 1399062528.

The previous prime is 4242100201. The next prime is 4242100249. The reversal of 4242100224 is 4220012424.

It is a self number, because there is not a number n which added to its sum of digits gives 4242100224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1190157 + ... + 1193715.

Almost surely, 24242100224 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 4242100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715352160).

4242100224 is an abundant number, since it is smaller than the sum of its proper divisors (7188604096).

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

4242100224 is an equidigital number, since it uses as much as digits as its factorization.

4242100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4242100224 is about 65131.4073546703. The cubic root of 4242100224 is about 1618.8016621825.

Adding to 4242100224 its reverse (4220012424), we get a palindrome (8462112648).

The spelling of 4242100224 in words is "four billion, two hundred forty-two million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 512 582 768 776 1024 1164 1536 1552 2048 2328 3072 3104 3559 4096 4656 6144 6208 7118 9312 10677 12288 12416 14236 18624 21354 24832 28472 37248 42708 49664 56944 74496 85416 99328 113888 148992 170832 198656 227776 297984 341664 345223 397312 455552 595968 683328 690446 911104 1035669 1191936 1366656 1380892 1822208 2071338 2733312 2761784 3644416 4142676 5466624 5523568 7288832 8285352 10933248 11047136 14577664 16570704 21866496 22094272 33141408 43732992 44188544 66282816 88377088 132565632 176754176 265131264 353508352 530262528 707016704 1060525056 1414033408 2121050112 4242100224