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2154350112 = 253194632551
BaseRepresentation
bin1000000001101000…
…1100011000100000
312120010210022202220
42000122030120200
513403003200422
6553435111040
7104246450055
oct20032143040
95503708686
102154350112
11a06090142
125015a2480
1328443a2a5
1416619702c
15c9200e5c
hex8068c620

2154350112 has 96 divisors (see below), whose sum is σ = 5968005120. Its totient is φ = 678585600.

The previous prime is 2154350101. The next prime is 2154350119. The reversal of 2154350112 is 2110534512.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2154350119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843237 + ... + 845787.

It is an arithmetic number, because the mean of its divisors is an integer number (62166720).

Almost surely, 22154350112 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 2154350112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984002560).

2154350112 is an abundant number, since it is smaller than the sum of its proper divisors (3813655008).

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

2154350112 is a wasteful number, since it uses less digits than its factorization.

2154350112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2154350112 is about 46414.9772379563. The cubic root of 2154350112 is about 1291.5327637277.

Adding to 2154350112 its reverse (2110534512), we get a palindrome (4264884624).

The spelling of 2154350112 in words is "two billion, one hundred fifty-four million, three hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 463 608 912 926 1389 1824 1852 2551 2778 3704 5102 5556 7408 7653 8797 10204 11112 14816 15306 17594 20408 22224 26391 30612 35188 40816 44448 48469 52782 61224 70376 81632 96938 105564 122448 140752 145407 193876 211128 244896 281504 290814 387752 422256 581628 775504 844512 1163256 1181113 1551008 2326512 2362226 3543339 4653024 4724452 7086678 9448904 14173356 18897808 22441147 28346712 37795616 44882294 56693424 67323441 89764588 113386848 134646882 179529176 269293764 359058352 538587528 718116704 1077175056 2154350112