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20235153224 = 23111358730133
BaseRepresentation
bin10010110110000110…
…111110111101001000
31221020020000021211102
4102312012332331020
5312420144400344
613143525320532
71314305651546
oct226606767510
957206007742
1020235153224
118644242130
123b08866148
131ba631c660
14d9d618d96
157d671ae4e
hex4b61bef48

20235153224 has 64 divisors (see below), whose sum is σ = 44651355840. Its totient is φ = 8475528960.

The previous prime is 20235153199. The next prime is 20235153229. The reversal of 20235153224 is 42235153202.

It is a super-2 number, since 2×202351532242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20235153229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656462 + ... + 686594.

It is an arithmetic number, because the mean of its divisors is an integer number (697677435).

Almost surely, 220235153224 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 20235153224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325677920).

20235153224 is an abundant number, since it is smaller than the sum of its proper divisors (24416202616).

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

20235153224 is a wasteful number, since it uses less digits than its factorization.

20235153224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30750 (or 30746 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 20235153224 in words is "twenty billion, two hundred thirty-five million, one hundred fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 587 1144 1174 2348 4696 6457 7631 12914 15262 25828 30133 30524 51656 60266 61048 83941 120532 167882 241064 331463 335764 391729 662926 671528 783458 1325852 1566916 2651704 3133832 4309019 8618038 17236076 17688071 34472152 35376142 70752284 141504568 194568781 229944923 389137562 459889846 778275124 919779692 1556550248 1839559384 2529394153 5058788306 10117576612 20235153224