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1220045200 = 245211416763
BaseRepresentation
bin100100010111000…
…0110100110010000
310011000201201101021
41020232012212100
54444312421300
6321021445224
742143133043
oct11056064620
93130651337
101220045200
11576758020
122a0710814
131659c234a
14b806ac5a
1572199d1a
hex48b86990

1220045200 has 120 divisors (see below), whose sum is σ = 3276102816. Its totient is φ = 432768000.

The previous prime is 1220045179. The next prime is 1220045237. The reversal of 1220045200 is 25400221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177019 + ... + 183781.

Almost surely, 21220045200 is an apocalyptic number.

1220045200 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 1220045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638051408).

1220045200 is an abundant number, since it is smaller than the sum of its proper divisors (2056057616).

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

1220045200 is a wasteful number, since it uses less digits than its factorization.

1220045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833 (or 6822 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1220045200 is about 34929.1454232708. The cubic root of 1220045200 is about 1068.5429260361.

Adding to 1220045200 its reverse (25400221), we get a palindrome (1245445421).

The spelling of 1220045200 in words is "one billion, two hundred twenty million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 41 44 50 55 80 82 88 100 110 164 176 200 205 220 275 328 400 410 440 451 550 656 820 880 902 1025 1100 1640 1804 2050 2200 2255 3280 3608 4100 4400 4510 6763 7216 8200 9020 11275 13526 16400 18040 22550 27052 33815 36080 45100 54104 67630 74393 90200 108208 135260 148786 169075 180400 270520 277283 297572 338150 371965 541040 554566 595144 676300 743930 1109132 1190288 1352600 1386415 1487860 1859825 2218264 2705200 2772830 2975720 3050113 3719650 4436528 5545660 5951440 6100226 6932075 7439300 11091320 12200452 13864150 14878600 15250565 22182640 24400904 27728300 29757200 30501130 48801808 55456600 61002260 76252825 110913200 122004520 152505650 244009040 305011300 610022600 1220045200