Search a number
-
+
1221623800 = 235225723767
BaseRepresentation
bin100100011010000…
…0111111111111000
310011010200220210221
41020310013333320
510000213430200
6321115345424
742162426265
oct11064077770
93133626727
101221623800
11577636051
122a1152274
13166125a27
14b835c26c
15723ac91a
hex48d07ff8

1221623800 has 48 divisors (see below), whose sum is σ = 2851446960. Its totient is φ = 486727680.

The previous prime is 1221623773. The next prime is 1221623803. The reversal of 1221623800 is 83261221.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221623803) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39517 + ... + 63283.

It is an arithmetic number, because the mean of its divisors is an integer number (59405145).

Almost surely, 21221623800 is an apocalyptic number.

1221623800 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 1221623800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425723480).

1221623800 is an abundant number, since it is smaller than the sum of its proper divisors (1629823160).

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

1221623800 is a wasteful number, since it uses less digits than its factorization.

1221623800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24040 (or 24031 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1221623800 is about 34951.7352931153. The cubic root of 1221623800 is about 1069.0035851646.

The spelling of 1221623800 in words is "one billion, two hundred twenty-one million, six hundred twenty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 1028 1285 2056 2570 5140 6425 10280 12850 23767 25700 47534 51400 95068 118835 190136 237670 475340 594175 950680 1188350 2376700 4753400 6108119 12216238 24432476 30540595 48864952 61081190 122162380 152702975 244324760 305405950 610811900 1221623800