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2241393504 = 253719716931
BaseRepresentation
bin1000010110011000…
…1111001101100000
312210012120120212020
42011212033031200
514042244043004
61010224501440
7106354346640
oct20546171540
95705516766
102241393504
11a50232129
1252677a880
1329949555c
14173974520
15d1b968d9
hex8598f360

2241393504 has 96 divisors (see below), whose sum is σ = 6758712576. Its totient is φ = 637109760.

The previous prime is 2241393467. The next prime is 2241393541. The reversal of 2241393504 is 4053931422.

It is an interprime number because it is at equal distance from previous prime (2241393467) and next prime (2241393541).

It is a tau number, because it is divible by the number of its divisors (96).

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, 123919 + ... + 140849.

It is an arithmetic number, because the mean of its divisors is an integer number (70403256).

Almost surely, 22241393504 is an apocalyptic number.

2241393504 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 2241393504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379356288).

2241393504 is an abundant number, since it is smaller than the sum of its proper divisors (4517319072).

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

2241393504 is a wasteful number, since it uses less digits than its factorization.

2241393504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17148 (or 17140 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2241393504 is about 47343.3575488685. The cubic root of 2241393504 is about 1308.6977918782.

The spelling of 2241393504 in words is "two billion, two hundred forty-one million, three hundred ninety-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 197 224 336 394 591 672 788 1182 1379 1576 2364 2758 3152 4137 4728 5516 6304 8274 9456 11032 16548 16931 18912 22064 33096 33862 44128 50793 66192 67724 101586 118517 132384 135448 203172 237034 270896 355551 406344 474068 541792 711102 812688 948136 1422204 1625376 1896272 2844408 3335407 3792544 5688816 6670814 10006221 11377632 13341628 20012442 23347849 26683256 40024884 46695698 53366512 70043547 80049768 93391396 106733024 140087094 160099536 186782792 280174188 320199072 373565584 560348376 747131168 1120696752 2241393504