Search a number
-
+
29922420 = 22351145337
BaseRepresentation
bin111001000100…
…1010001110100
32002022012211210
41302021101310
530130004140
62545201420
7512223243
oct162112164
962265753
1029922420
1115988180
12a030270
136278898
143d8c95a
152960d80
hex1c89474

29922420 has 48 divisors (see below), whose sum is σ = 91401408. Its totient is φ = 7253760.

The previous prime is 29922383. The next prime is 29922437. The reversal of 29922420 is 2422992.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22009 + ... + 23328.

It is an arithmetic number, because the mean of its divisors is an integer number (1904196).

Almost surely, 229922420 is an apocalyptic number.

29922420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29922420 is an abundant number, since it is smaller than the sum of its proper divisors (61478988).

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

29922420 is a wasteful number, since it uses less digits than its factorization.

29922420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45360 (or 45358 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 29922420 is about 5470.1389379064. The cubic root of 29922420 is about 310.4551759401.

The spelling of 29922420 in words is "twenty-nine million, nine hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 45337 90674 136011 181348 226685 272022 453370 498707 544044 680055 906740 997414 1360110 1496121 1994828 2493535 2720220 2992242 4987070 5984484 7480605 9974140 14961210 29922420