Search a number
-
+
332242152 = 2331117181409
BaseRepresentation
bin10011110011011…
…001110011101000
3212011011122112220
4103303121303220
51140023222102
652545034040
711143004004
oct2363316350
9764148486
10332242152
111605a64a0
1293325920
1353aa94b8
14321a7704
151e27c1bc
hex13cd9ce8

332242152 has 128 divisors (see below), whose sum is σ = 967075200. Its totient is φ = 94003200.

The previous prime is 332242133. The next prime is 332242171. The reversal of 332242152 is 251242233.

It is an interprime number because it is at equal distance from previous prime (332242133) and next prime (332242171).

It is a super-2 number, since 2×3322421522 = 220769695131182208, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 812124 + ... + 812532.

It is an arithmetic number, because the mean of its divisors is an integer number (7555275).

Almost surely, 2332242152 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 332242152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483537600).

332242152 is an abundant number, since it is smaller than the sum of its proper divisors (634833048).

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

332242152 is a wasteful number, since it uses less digits than its factorization.

332242152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 332242152 is about 18227.5108558464. The cubic root of 332242152 is about 692.6038643970.

Adding to 332242152 its reverse (251242233), we get a palindrome (583484385).

The spelling of 332242152 in words is "three hundred thirty-two million, two hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 181 187 204 264 362 374 408 409 543 561 724 748 818 1086 1122 1227 1448 1496 1636 1991 2172 2244 2454 3077 3272 3982 4344 4488 4499 4908 5973 6154 6953 7964 8998 9231 9816 11946 12308 13497 13906 15928 17996 18462 20859 23892 24616 26994 27812 33847 35992 36924 41718 47784 53988 55624 67694 73848 74029 76483 83436 101541 107976 135388 148058 152966 166872 203082 222087 229449 270776 296116 305932 406164 444174 458898 592232 611864 812328 814319 888348 917796 1258493 1628638 1776696 1835592 2442957 2516986 3257276 3775479 4885914 5033972 6514552 7550958 9771828 10067944 13843423 15101916 19543656 27686846 30203832 41530269 55373692 83060538 110747384 166121076 332242152