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1220014900 = 2252132713463
BaseRepresentation
bin100100010110111…
…1111001100110100
310011000200011211001
41020231333030310
54444310434100
6321021053044
742142645516
oct11055771464
93130604731
101220014900
11576737285
122a06b7184
131659b1610
14b805dbb6
1572190d6a
hex48b7f334

1220014900 has 72 divisors (see below), whose sum is σ = 2862427904. Its totient is φ = 448675200.

The previous prime is 1220014853. The next prime is 1220014907. The reversal of 1220014900 is 94100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220014907) 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 23 ways as a sum of consecutive naturals, for example, 350569 + ... + 354031.

Almost surely, 21220014900 is an apocalyptic number.

1220014900 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 1220014900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431213952).

1220014900 is an abundant number, since it is smaller than the sum of its proper divisors (1642413004).

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

1220014900 is a wasteful number, since it uses less digits than its factorization.

1220014900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1220014900 is about 34928.7116853743. The cubic root of 1220014900 is about 1068.5340801566.

The spelling of 1220014900 in words is "one billion, two hundred twenty million, fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 271 325 542 650 1084 1300 1355 2710 3463 3523 5420 6775 6926 7046 13550 13852 14092 17315 17615 27100 34630 35230 45019 69260 70460 86575 88075 90038 173150 176150 180076 225095 346300 352300 450190 900380 938473 1125475 1876946 2250950 3753892 4501900 4692365 9384730 12200149 18769460 23461825 24400298 46923650 48800596 61000745 93847300 122001490 244002980 305003725 610007450 1220014900