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1225670148 = 22321779101251
BaseRepresentation
bin100100100001110…
…0011111000000100
310011102022111100200
41021003203320010
510002232421043
6321342210500
742242011233
oct11103437004
93142274320
101225670148
1157994a13a
122a2583a30
13166c11711
14b8ad2b1a
157290b7d3
hex490e3e04

1225670148 has 144 divisors (see below), whose sum is σ = 3368252160. Its totient is φ = 374400000.

The previous prime is 1225670119. The next prime is 1225670179. The reversal of 1225670148 is 8410765221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4883023 + ... + 4883273.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 21225670148 is an apocalyptic number.

1225670148 is a gapful number since it is divisible by the number (18) 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 1225670148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684126080).

1225670148 is an abundant number, since it is smaller than the sum of its proper divisors (2142582012).

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

1225670148 is a wasteful number, since it uses less digits than its factorization.

1225670148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1225670148 is about 35009.5722338905. The cubic root of 1225670148 is about 1070.1825606341.

The spelling of 1225670148 in words is "one billion, two hundred twenty-five million, six hundred seventy thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 79 101 102 153 158 202 204 237 251 303 306 316 404 474 502 606 612 711 753 909 948 1004 1212 1343 1422 1506 1717 1818 2259 2686 2844 3012 3434 3636 4029 4267 4518 5151 5372 6868 7979 8058 8534 9036 10302 12087 12801 15453 15958 16116 17068 19829 20604 23937 24174 25351 25602 30906 31916 38403 39658 47874 48348 50702 51204 59487 61812 71811 76053 76806 79316 95748 101404 118974 135643 143622 152106 153612 178461 228159 237948 271286 287244 304212 337093 356922 406929 430967 456318 542572 674186 713844 813858 861934 912636 1011279 1220787 1292901 1348372 1627716 1723868 2002729 2022558 2441574 2585802 3033837 3878703 4005458 4045116 4883148 5171604 6008187 6067674 7757406 8010916 12016374 12135348 15514812 18024561 24032748 34046393 36049122 68092786 72098244 102139179 136185572 204278358 306417537 408556716 612835074 1225670148