Search a number
-
+
122494900 = 225211195861
BaseRepresentation
bin1110100110100…
…01111110110100
322112111101102011
413103101332310
5222324314100
620053254004
73015121663
oct723217664
9275441364
10122494900
1163166260
1235034304
131c4bb6b8
14123a8dda
15ab49bba
hex74d1fb4

122494900 has 72 divisors (see below), whose sum is σ = 305292960. Its totient is φ = 42192000.

The previous prime is 122494873. The next prime is 122494903. The reversal of 122494900 is 9494221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122494903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17970 + ... + 23830.

It is an arithmetic number, because the mean of its divisors is an integer number (4240180).

Almost surely, 2122494900 is an apocalyptic number.

122494900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122494900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152646480).

122494900 is an abundant number, since it is smaller than the sum of its proper divisors (182798060).

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

122494900 is a wasteful number, since it uses less digits than its factorization.

122494900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 122494900 is about 11067.7414136761. The cubic root of 122494900 is about 496.6373018888.

The spelling of 122494900 in words is "one hundred twenty-two million, four hundred ninety-four thousand, nine hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 5861 10450 11722 20900 23444 29305 58610 64471 111359 117220 128942 146525 222718 257884 293050 322355 445436 556795 586100 644710 1113590 1224949 1289420 1611775 2227180 2449898 2783975 3223550 4899796 5567950 6124745 6447100 11135900 12249490 24498980 30623725 61247450 122494900