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2123214352 = 24729761859
BaseRepresentation
bin111111010001101…
…1010111000010000
312110222012110112121
41332203122320100
513322020324402
6550403504024
7103421011210
oct17643327020
95428173477
102123214352
1199a554406
124b3088014
1327ab5836c
14161db0240
15c6600837
hex7e8dae10

2123214352 has 80 divisors (see below), whose sum is σ = 4875580800. Its totient is φ = 876395520.

The previous prime is 2123214343. The next prime is 2123214361. The reversal of 2123214352 is 2534123212.

It is an interprime number because it is at equal distance from previous prime (2123214343) and next prime (2123214361).

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, 2471299 + ... + 2472157.

It is an arithmetic number, because the mean of its divisors is an integer number (60944760).

Almost surely, 22123214352 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 2123214352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437790400).

2123214352 is an abundant number, since it is smaller than the sum of its proper divisors (2752366448).

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

2123214352 is a wasteful number, since it uses less digits than its factorization.

2123214352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 2123214352 is about 46078.3501440753. The cubic root of 2123214352 is about 1285.2805843103.

Adding to 2123214352 its reverse (2534123212), we get a palindrome (4657337564).

The spelling of 2123214352 in words is "two billion, one hundred twenty-three million, two hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 761 812 859 1522 1624 1718 3044 3248 3436 5327 6013 6088 6872 10654 12026 12176 13744 21308 22069 24052 24911 42616 44138 48104 49822 85232 88276 96208 99644 154483 174377 176552 199288 308966 348754 353104 398576 617932 653699 697508 1235864 1307398 1395016 2471728 2614796 2790032 4575893 5229592 9151786 10459184 18303572 18957271 36607144 37914542 73214288 75829084 132700897 151658168 265401794 303316336 530803588 1061607176 2123214352