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2213033208 = 2331719319209
BaseRepresentation
bin1000001111101000…
…0011010011111000
312201020012201211220
42003322003103320
514013014030313
61003332552040
7105561320601
oct20372032370
95636181756
102213033208
11a36221671
12519182620
13293645a09
1416dcb0da8
15ce443823
hex83e834f8

2213033208 has 128 divisors (see below), whose sum is σ = 6365952000. Its totient is φ = 636456960.

The previous prime is 2213033197. The next prime is 2213033209. The reversal of 2213033208 is 8023303122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213033209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235708 + ... + 244916.

It is an arithmetic number, because the mean of its divisors is an integer number (49734000).

Almost surely, 22213033208 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 2213033208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182976000).

2213033208 is an abundant number, since it is smaller than the sum of its proper divisors (4152918792).

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

2213033208 is a wasteful number, since it uses less digits than its factorization.

2213033208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285 (or 9281 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2213033208 is about 47042.8869012096. The cubic root of 2213033208 is about 1303.1547067304.

The spelling of 2213033208 in words is "two billion, two hundred thirteen million, thirty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 31 34 38 51 57 62 68 76 93 102 114 124 136 152 186 204 228 248 323 372 408 456 527 589 646 744 969 1054 1178 1292 1581 1767 1938 2108 2356 2584 3162 3534 3876 4216 4712 6324 7068 7752 9209 10013 12648 14136 18418 20026 27627 30039 36836 40052 55254 60078 73672 80104 110508 120156 156553 174971 221016 240312 285479 313106 349942 469659 524913 570958 626212 699884 856437 939318 1049826 1141916 1252424 1399768 1712874 1878636 2099652 2283832 2974507 3425748 3757272 4199304 4853143 5424101 5949014 6851496 8923521 9706286 10848202 11898028 14559429 16272303 17847042 19412572 21696404 23796056 29118858 32544606 35694084 38825144 43392808 58237716 65089212 71388168 92209717 116475432 130178424 184419434 276629151 368838868 553258302 737677736 1106516604 2213033208