Search a number
-
+
2252914335 = 3257113167379
BaseRepresentation
bin1000011001001000…
…1011111010011111
312211000020220110200
42012102023322133
514103221224320
61011315434543
7106554312240
oct20622137237
95730226420
102252914335
11a56790981
1252a5b5a53
1329b99a409
141752d2cc7
15d2bc0290
hex8648be9f

2252914335 has 96 divisors (see below), whose sum is σ = 4541322240. Its totient is φ = 1011999744.

The previous prime is 2252914297. The next prime is 2252914343. The reversal of 2252914335 is 5334192522.

It is not a de Polignac number, because 2252914335 - 216 = 2252848799 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2252914335.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5944176 + ... + 5944554.

It is an arithmetic number, because the mean of its divisors is an integer number (47305440).

Almost surely, 22252914335 is an apocalyptic number.

2252914335 is an abundant number, since it is smaller than the sum of its proper divisors (2288407905).

2252914335 is a wasteful number, since it uses less digits than its factorization.

2252914335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 674 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2252914335 is about 47464.8747496504. The cubic root of 2252914335 is about 1310.9362099290.

It can be divided in two parts, 22529 and 14335, that added together give a square (36864 = 1922).

The spelling of 2252914335 in words is "two billion, two hundred fifty-two million, nine hundred fourteen thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 113 167 315 339 379 501 565 791 835 1017 1137 1169 1503 1695 1895 2373 2505 2653 3411 3507 3955 5085 5685 5845 7119 7515 7959 10521 11865 13265 17055 17535 18871 23877 35595 39795 42827 52605 56613 63293 94355 119385 128481 132097 169839 189879 214135 283065 299789 316465 385443 396291 443051 569637 642405 660485 849195 899367 949395 1188873 1329153 1498945 1927215 1981455 2215255 2698101 2848185 3987459 4496835 5944365 6645765 7152109 13490505 19937295 21456327 35760545 50064763 64368981 107281635 150194289 250323815 321844905 450582867 750971445 2252914335