Search a number
-
+
5233211520 = 27355351427
BaseRepresentation
bin1001101111110110…
…00111100010000000
3111111201012200121220
410313323013202000
541204200232040
62223141515040
7243453364305
oct46773074200
914451180556
105233211520
1122460142a9
121020712a80
13655273884
1437904b0ac
152096712d0
hex137ec7880

5233211520 has 128 divisors (see below), whose sum is σ = 16995925440. Its totient is φ = 1369165824.

The previous prime is 5233211509. The next prime is 5233211531. The reversal of 5233211520 is 251123325.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5233211509) and next prime (5233211531).

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 76047 + ... + 127473.

Almost surely, 25233211520 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 5233211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497962720).

5233211520 is an abundant number, since it is smaller than the sum of its proper divisors (11762713920).

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

5233211520 is a wasteful number, since it uses less digits than its factorization.

5233211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51502 (or 51490 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5233211520 is about 72340.9394464849. The cubic root of 5233211520 is about 1736.1587345209.

Adding to 5233211520 its reverse (251123325), we get a palindrome (5484334845).

The spelling of 5233211520 in words is "five billion, two hundred thirty-three million, two hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 192 212 240 265 318 320 384 424 480 530 636 640 795 848 960 1060 1272 1590 1696 1920 2120 2544 3180 3392 4240 5088 6360 6784 8480 10176 12720 16960 20352 25440 33920 50880 51427 101760 102854 154281 205708 257135 308562 411416 514270 617124 771405 822832 1028540 1234248 1542810 1645664 2057080 2468496 2725631 3085620 3291328 4114160 4936992 5451262 6171240 6582656 8176893 8228320 9873984 10902524 12342480 13628155 16353786 16456640 19747968 21805048 24684960 27256310 32707572 32913280 40884465 43610096 49369920 54512620 65415144 81768930 87220192 98739840 109025240 130830288 163537860 174440384 218050480 261660576 327075720 348880768 436100960 523321152 654151440 872201920 1046642304 1308302880 1744403840 2616605760 5233211520