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1220920000 = 2654131233
BaseRepresentation
bin100100011000101…
…1100001011000000
310011002101011101021
41020301130023000
510000023420000
6321052315224
742153435346
oct11061341300
93132334337
101220920000
115771a52a3
122a0a72b14
13165c3a591
14b8217996
15722be11a
hex48c5c2c0

1220920000 has 140 divisors (see below), whose sum is σ = 3063688056. Its totient is φ = 482560000.

The previous prime is 1220919967. The next prime is 1220920033. The reversal of 1220920000 is 290221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1220919967) and next prime (1220920033).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 5239884 + ... + 5240116.

Almost surely, 21220920000 is an apocalyptic number.

1220920000 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 1220920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531844028).

1220920000 is an abundant number, since it is smaller than the sum of its proper divisors (1842768056).

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

1220920000 is an equidigital number, since it uses as much as digits as its factorization.

1220920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1220920000 is about 34941.6656729470. The cubic root of 1220920000 is about 1068.7982548348.

The spelling of 1220920000 in words is "one billion, two hundred twenty million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 131 160 200 233 250 262 320 400 466 500 524 625 655 800 932 1000 1048 1165 1250 1310 1600 1864 2000 2096 2330 2500 2620 3275 3728 4000 4192 4660 5000 5240 5825 6550 7456 8000 8384 9320 10000 10480 11650 13100 14912 16375 18640 20000 20960 23300 26200 29125 30523 32750 37280 40000 41920 46600 52400 58250 61046 65500 74560 81875 93200 104800 116500 122092 131000 145625 152615 163750 186400 209600 233000 244184 262000 291250 305230 327500 372800 466000 488368 524000 582500 610460 655000 763075 932000 976736 1048000 1165000 1220920 1310000 1526150 1864000 1953472 2330000 2441840 2620000 3052300 3815375 4660000 4883680 5240000 6104600 7630750 9320000 9767360 12209200 15261500 19076875 24418400 30523000 38153750 48836800 61046000 76307500 122092000 152615000 244184000 305230000 610460000 1220920000